Cremona's table of elliptic curves

4403 = 7 · 17 · 37

Field	Data	Notes
Atkin-Lehner	7- 17+ 37-	Signs for the Atkin-Lehner involutions
Class	4403c	Isogeny class
Conductor	4403	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	4240	Modular degree for the optimal curve
Δ	-179717251 = -1 · 75 · 172 · 37	Discriminant
Eigenvalues	2  2 -3 7- -3  3 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-1232,-16253]	[a1,a2,a3,a4,a6]
Generators	[458:2495:8]	Generators of the group modulo torsion
j	-206970428919808/179717251	j-invariant
L	7.9801824110277	L(r)(E,1)/r!
Ω	0.40286996980466	Real period
R	1.9808332735491	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	70448i1 39627m1 110075d1 30821n1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4403c1

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
2	2	-3	-	-3	3	+	-4	-4	0	-7	-	10	-12	6	5	-3	-6	-5	5	-14	16	-6	3	11

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Quadratic twists for elliptic curve 4403c1

-4	-3	5	-7	17
70448i1	39627m1	110075d1	30821n1	74851c1

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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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