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	11970b	Isogeny class
Conductor	11970	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	133120	Modular degree for the optimal curve
Δ	51661787627520000 = 226 · 33 · 54 · 74 · 19	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  2  0  4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-402150,-97447500]	[a1,a2,a3,a4,a6]
Generators	[-24300:52575:64]	Generators of the group modulo torsion
j	266394205833287968827/1913399541760000	j-invariant
L	3.1118853463428	L(r)(E,1)/r!
Ω	0.18966644498635	Real period
R	4.101786885085	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	95760cf1 11970bk1 59850ed1 83790p1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 11970b1

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

---

Quadratic twists for elliptic curve 11970b1

-4	-3	5	-7
95760cf1	11970bk1	59850ed1	83790p1

---

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