Cremona's table of elliptic curves

1155 = 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	3+ 5- 7- 11+	Signs for the Atkin-Lehner involutions
Class	1155f	Isogeny class
Conductor	1155	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	607815140625 = 38 · 56 · 72 · 112	Discriminant
Eigenvalues	1 3+ 5- 7- 11+ -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-16247,-803016]	[a1,a2,a3,a4,a6]
Generators	[248:3116:1]	Generators of the group modulo torsion
j	474334834335054841/607815140625	j-invariant
L	2.8369366824155	L(r)(E,1)/r!
Ω	0.4228985505108	Real period
R	2.2361049941244	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18480dc2 73920cx2 3465k2 5775o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155f2

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
1	+	-	-	+	-2	-6	4	-4	-2	-4	-2	-2	-12	0	-2	0	-14	-8	-16	10	16	-4	-6	2

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Quadratic twists for elliptic curve 1155f2

-4	8	-3	5	-7	-11
18480dc2	73920cx2	3465k2	5775o2	8085n2	12705e2

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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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