Cremona's table of elliptic curves

1170 = 2 · 3² · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 13-	Signs for the Atkin-Lehner involutions
Class	1170i	Isogeny class
Conductor	1170	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	831606750 = 2 · 39 · 53 · 132	Discriminant
Eigenvalues	2- 3+ 5+ -4  0 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-35993,-2619269]	[a1,a2,a3,a4,a6]
Generators	[49002:174821:216]	Generators of the group modulo torsion
j	261984288445803/42250	j-invariant
L	3.2585381990432	L(r)(E,1)/r!
Ω	0.34661391199482	Real period
R	9.4010600448486	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	9360bb4 37440s4 1170b2 5850b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1170i4

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
-	+	+	-4	0	-	-6	-4	6	-6	-10	-10	-6	-4	12	12	-12	-10	14	0	-16	8	12	6	8

---

Quadratic twists for elliptic curve 1170i4

-4	8	-3	5	-7	13
9360bb4	37440s4	1170b2	5850b4	57330dh4	15210e4

---

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