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	12	Product of Tamagawa factors cp
Δ	-551466161890875 = -1 · 316 · 53 · 7 · 114	Discriminant
Eigenvalues	1 3+ 5- 7- 11+ -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-11872,-1239641]	[a1,a2,a3,a4,a6]
Generators	[5014:120913:8]	Generators of the group modulo torsion
j	-185077034913624841/551466161890875	j-invariant
L	2.8369366824155	L(r)(E,1)/r!
Ω	0.2114492752554	Real period
R	4.4722099882488	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	18480dc4 73920cx3 3465k4 5775o4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155f4

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 1155f4

-4	8	-3	5	-7	-11
18480dc4	73920cx3	3465k4	5775o4	8085n4	12705e4

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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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