Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37570r |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
80784 |
Modular degree for the optimal curve |
Δ |
-3627393869320 = -1 · 23 · 5 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -4 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1740,-96523] |
[a1,a2,a3,a4,a6] |
Generators |
[4455:295153:1] |
Generators of the group modulo torsion |
j |
-83521/520 |
j-invariant |
L |
12.382302599404 |
L(r)(E,1)/r! |
Ω |
0.3299960424063 |
Real period |
R |
4.1691754540488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37570l1 |
Quadratic twists by: 17 |