Cremona's table of elliptic curves

438 = 2 · 3 · 73

Field	Data	Notes
Atkin-Lehner	2+ 3- 73-	Signs for the Atkin-Lehner involutions
Class	438d	Isogeny class
Conductor	438	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	2482892352 = 26 · 312 · 73	Discriminant
Eigenvalues	2+ 3-  0 -4 -6 -4 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1946,32780]	[a1,a2,a3,a4,a6]
Generators	[-24:268:1]	Generators of the group modulo torsion
j	814388006841625/2482892352	j-invariant
L	1.5258264643005	L(r)(E,1)/r!
Ω	1.4530902095286	Real period
R	1.5750843832285	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	3504q1 14016m1 1314f1 10950t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 438d1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	0	-4	-6	-4	-6	8	0	0	8	2	-6	2	0	-12	6	-10	-4	0	-	-16	6	6	14

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Quadratic twists for elliptic curve 438d1

-4	8	-3	5	-7	-11	13	17	73
3504q1	14016m1	1314f1	10950t1	21462e1	52998p1	74022s1	126582a1	31974b1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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