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	438b	Isogeny class
Conductor	438	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-863298 = -1 · 2 · 34 · 732	Discriminant
Eigenvalues	2- 3-  0 -2  4  4 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3,-45]	[a1,a2,a3,a4,a6]
j	-3048625/863298	j-invariant
L	2.5149090457444	L(r)(E,1)/r!
Ω	1.2574545228722	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3504o2 14016l2 1314b2 10950a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 438b2

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	4	4	-2	4	0	0	-10	-6	-10	-8	6	4	12	-2	12	-12	-	-12	12	6	2

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Quadratic twists for elliptic curve 438b2

-4	8	-3	5	-7	-11	13	17	73
3504o2	14016l2	1314b2	10950a2	21462z2	52998g2	74022h2	126582x2	31974n2

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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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