Cremona's table of elliptic curves

8437 = 11 · 13 · 59

Field	Data	Notes
Atkin-Lehner	11- 13+ 59-	Signs for the Atkin-Lehner involutions
Class	8437c	Isogeny class
Conductor	8437	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	8400	Modular degree for the optimal curve
Δ	20875913773 = 115 · 133 · 59	Discriminant
Eigenvalues	2  1  0  3 11- 13+ -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-918,7843]	[a1,a2,a3,a4,a6]
Generators	[74:117:8]	Generators of the group modulo torsion
j	85649485312000/20875913773	j-invariant
L	9.8749556664091	L(r)(E,1)/r!
Ω	1.1380097746383	Real period
R	1.735478180677	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	75933b1 92807e1 109681c1	Quadratic twists by: -3 -11 13

Hecke Eigenvalues for elliptic curve 8437c1

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	1	0	3	-	+	-6	-8	4	0	1	5	-6	-12	3	3	-	-11	-5	0	-4	2	4	15	11

---

Quadratic twists for elliptic curve 8437c1

-3	-11	13
75933b1	92807e1	109681c1

---

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