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	8	Product of Tamagawa factors cp
Δ	-196003234 = -1 · 2 · 78 · 17	Discriminant
Eigenvalues	2-  0  2 7-  0 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,131,-377]	[a1,a2,a3,a4,a6]
j	250404380127/196003234	j-invariant
L	1.9913282031166	L(r)(E,1)/r!
Ω	0.99566410155831	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	1904c4 7616e4 2142h4 5950a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 238c4

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 238c4

-4	8	-3	5	-7	-11	13	17	-19	-23
1904c4	7616e4	2142h4	5950a4	1666k4	28798b3	40222e3	4046i4	85918u3	125902l3

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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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