Cremona's table of elliptic curves

303 = 3 · 101

Field	Data	Notes
Atkin-Lehner	3- 101-	Signs for the Atkin-Lehner involutions
Class	303a	Isogeny class
Conductor	303	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	112	Modular degree for the optimal curve
Δ	483079869 = 314 · 101	Discriminant
Eigenvalues	0 3- -3  0 -2 -3 -7 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-197,-208]	[a1,a2,a3,a4,a6]
Generators	[-2:13:1]	Generators of the group modulo torsion
j	849816322048/483079869	j-invariant
L	1.4855694061056	L(r)(E,1)/r!
Ω	1.3761905514481	Real period
R	0.077105674301027	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	4848n1 19392g1 909a1 7575a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 303a1

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	-	-3	0	-2	-3	-7	-5	-5	6	7	10	6	4	-7	-4	-10	-2	10	-9	-8	7	2	-8	-10

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Quadratic twists for elliptic curve 303a1

-4	8	-3	5	-7	-11	13	17	-19	101
4848n1	19392g1	909a1	7575a1	14847a1	36663h1	51207c1	87567a1	109383e1	30603b1

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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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