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	1155m	Isogeny class
Conductor	1155	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	3859869269025 = 312 · 52 · 74 · 112	Discriminant
Eigenvalues	-1 3- 5- 7- 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-11970,-496125]	[a1,a2,a3,a4,a6]
j	189674274234120481/3859869269025	j-invariant
L	1.3709901109688	L(r)(E,1)/r!
Ω	0.45699670365625	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	18480cd2 73920n2 3465i2 5775c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155m2

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	2	4	0	6	0	6	-6	-4	0	-2	4	6	12	0	10	8	-4	10	10

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Quadratic twists for elliptic curve 1155m2

-4	8	-3	5	-7	-11
18480cd2	73920n2	3465i2	5775c2	8085g2	12705m2

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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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