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	72	Product of Tamagawa factors cp
Δ	-98064578635272 = -1 · 23 · 34 · 736	Discriminant
Eigenvalues	2- 3-  0  2  0 -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-72898,-7596724]	[a1,a2,a3,a4,a6]
j	-42842117160045582625/98064578635272	j-invariant
L	2.6145898482891	L(r)(E,1)/r!
Ω	0.14525499157162	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	3504p4 14016j4 1314a4 10950b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 438a4

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 438a4

-4	8	-3	5	-7	-11	13	17	73
3504p4	14016j4	1314a4	10950b4	21462y4	52998h4	74022i4	126582y4	31974o4

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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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