Cremona's table of elliptic curves

1904 = 2⁴ · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 7+ 17-	Signs for the Atkin-Lehner involutions
Class	1904c	Isogeny class
Conductor	1904	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-802829246464 = -1 · 213 · 78 · 17	Discriminant
Eigenvalues	2-  0  2 7+  0 -2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,2101,22010]	[a1,a2,a3,a4,a6]
Generators	[-195:2170:27]	Generators of the group modulo torsion
j	250404380127/196003234	j-invariant
L	3.1099402689075	L(r)(E,1)/r!
Ω	0.5746966758672	Real period
R	5.411446419478	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	238c4 7616i4 17136z4 47600w3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1904c4

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 1904c4

-4	8	-3	5	-7	17
238c4	7616i4	17136z4	47600w3	13328p4	32368w3

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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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