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	438a	Isogeny class
Conductor	438	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	-1450009133568 = -1 · 29 · 312 · 732	Discriminant
Eigenvalues	2- 3-  0  2  0 -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1622,-52060]	[a1,a2,a3,a4,a6]
j	471910376801375/1450009133568	j-invariant
L	2.6145898482891	L(r)(E,1)/r!
Ω	0.43576497471485	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	3504p2 14016j2 1314a2 10950b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 438a2

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	2	0	-4	6	-4	0	0	2	2	6	-4	-6	-12	0	-10	-4	12	-	-4	0	6	2

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Quadratic twists for elliptic curve 438a2

-4	8	-3	5	-7	-11	13	17	73
3504p2	14016j2	1314a2	10950b2	21462y2	52998h2	74022i2	126582y2	31974o2

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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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