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	438c	Isogeny class
Conductor	438	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	63948 = 22 · 3 · 732	Discriminant
Eigenvalues	2+ 3+  0 -2  4 -6  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-65,-231]	[a1,a2,a3,a4,a6]
Generators	[-5:3:1]	Generators of the group modulo torsion
j	31107273625/63948	j-invariant
L	1.2587504610108	L(r)(E,1)/r!
Ω	1.6782565035119	Real period
R	0.75003460935605	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3504t2 14016r2 1314d2 10950bd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 438c2

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	-6	0	-4	0	-4	2	-10	-2	2	-12	0	-4	-6	8	8	+	8	8	10	14

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Quadratic twists for elliptic curve 438c2

-4	8	-3	5	-7	-11	13	17	73
3504t2	14016r2	1314d2	10950bd2	21462s2	52998n2	74022n2	126582u2	31974a2

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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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