Cremona's table of elliptic curves

238 = 2 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 7- 17-	Signs for the Atkin-Lehner involutions
Class	238c	Isogeny class
Conductor	238	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2775556 = 22 · 74 · 172	Discriminant
Eigenvalues	2-  0  2 7-  0 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-39,-37]	[a1,a2,a3,a4,a6]
j	6403769793/2775556	j-invariant
L	1.9913282031166	L(r)(E,1)/r!
Ω	1.9913282031166	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1904c2 7616e2 2142h2 5950a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 238c2

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

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Quadratic twists for elliptic curve 238c2

-4	8	-3	5	-7	-11	13	17	-19	-23
1904c2	7616e2	2142h2	5950a2	1666k2	28798b2	40222e2	4046i2	85918u2	125902l2

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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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