Cremona's table of elliptic curves

1911 = 3 · 7² · 13

Field	Data	Notes
Atkin-Lehner	3- 7- 13+	Signs for the Atkin-Lehner involutions
Class	1911f	Isogeny class
Conductor	1911	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	178944129 = 32 · 76 · 132	Discriminant
Eigenvalues	1 3- -2 7-  4 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-222,1075]	[a1,a2,a3,a4,a6]
Generators	[-1:36:1]	Generators of the group modulo torsion
j	10218313/1521	j-invariant
L	3.8249482326047	L(r)(E,1)/r!
Ω	1.7284985358133	Real period
R	2.2128732847349	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	30576bs2 122304bz2 5733g2 47775u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1911f2

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	-	-2	-	4	+	-2	0	0	-10	-4	-2	-6	-12	0	6	-12	2	-8	0	-2	8	-4	2	-10

---

Quadratic twists for elliptic curve 1911f2

-4	8	-3	5	-7	13
30576bs2	122304bz2	5733g2	47775u2	39a1	24843s2

---

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