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	48	Product of Tamagawa factors cp
Δ	-15825714261328125 = -1 · 33 · 58 · 7 · 118	Discriminant
Eigenvalues	-1 3- 5- 7- 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-189630,-32370975]	[a1,a2,a3,a4,a6]
j	-754127868744065783521/15825714261328125	j-invariant
L	1.3709901109688	L(r)(E,1)/r!
Ω	0.11424917591406	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480cd6 73920n5 3465i6 5775c6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155m6

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 1155m6

-4	8	-3	5	-7	-11
18480cd6	73920n5	3465i6	5775c6	8085g6	12705m6

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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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