Cremona's table of elliptic curves

847 = 7 · 11²

Field	Data	Notes
Atkin-Lehner	7- 11-	Signs for the Atkin-Lehner involutions
Class	847c	Isogeny class
Conductor	847	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-73525096183 = -1 · 73 · 118	Discriminant
Eigenvalues	-1  2 -2 7- 11- -4 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,421,-12440]	[a1,a2,a3,a4,a6]
Generators	[116:1212:1]	Generators of the group modulo torsion
j	4657463/41503	j-invariant
L	1.9187378840007	L(r)(E,1)/r!
Ω	0.54021774573437	Real period
R	1.1839287023003	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	13552s1 54208bn1 7623o1 21175h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 847c1

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

---

Quadratic twists for elliptic curve 847c1

-4	8	-3	5	-7	-11
13552s1	54208bn1	7623o1	21175h1	5929g1	77c1

---

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