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	1155l	Isogeny class
Conductor	1155	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-8897444448004035 = -1 · 34 · 5 · 7 · 1112	Discriminant
Eigenvalues	1 3- 5- 7- 11+  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-21788,4702241]	[a1,a2,a3,a4,a6]
j	-1143792273008057401/8897444448004035	j-invariant
L	2.8244826582307	L(r)(E,1)/r!
Ω	0.35306033227884	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480cf4 73920u3 3465l4 5775d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155l4

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	-	-	-	+	6	2	4	-4	-2	4	-2	6	4	8	-2	-8	10	-8	0	-14	-16	-4	-6	18

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Quadratic twists for elliptic curve 1155l4

-4	8	-3	5	-7	-11
18480cf4	73920u3	3465l4	5775d4	8085f4	12705o4

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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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