Cremona's table of elliptic curves

11970 = 2 · 3² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 19+	Signs for the Atkin-Lehner involutions
Class	11970ce	Isogeny class
Conductor	11970	Conductor
∏ cp	420	Product of Tamagawa factors cp
deg	40320	Modular degree for the optimal curve
Δ	-51309644400000 = -1 · 27 · 39 · 55 · 73 · 19	Discriminant
Eigenvalues	2- 3- 5- 7- -3  3 -8 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5702,383829]	[a1,a2,a3,a4,a6]
Generators	[287:-4869:1]	Generators of the group modulo torsion
j	-28119423707929/70383600000	j-invariant
L	7.4776444671228	L(r)(E,1)/r!
Ω	0.55934931342757	Real period
R	0.031829690267809	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	95760eu1 3990e1 59850be1 83790ep1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11970ce1

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
-	-	-	-	-3	3	-8	+	-1	-4	1	8	-2	-9	0	-9	-11	-7	-8	15	-9	-4	5	4	6

---

Quadratic twists for elliptic curve 11970ce1

-4	-3	5	-7
95760eu1	3990e1	59850be1	83790ep1

---

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