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	1155n	Isogeny class
Conductor	1155	Conductor
∏ cp	15	Product of Tamagawa factors cp
Δ	-438611057788643355 = -1 · 3 · 5 · 7 · 1115	Discriminant
Eigenvalues	-2 3- 5- 7- 11- -6 -7 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-26790,-31917424]	[a1,a2,a3,a4,a6]
Generators	[12394:483149:8]	Generators of the group modulo torsion
j	-2126464142970105856/438611057788643355	j-invariant
L	1.7238948109192	L(r)(E,1)/r!
Ω	0.13267092749353	Real period
R	0.86625097826011	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18480cb2 73920l2 3465h2 5775f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1155n2

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
-2	-	-	-	-	-6	-7	-5	-1	-5	-8	-2	12	-11	8	-11	-5	7	-2	12	4	-10	-1	15	3

---

Quadratic twists for elliptic curve 1155n2

-4	8	-3	5	-7	-11
18480cb2	73920l2	3465h2	5775f2	8085j2	12705p2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations