Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032cf |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36126720 |
Modular degree for the optimal curve |
Δ |
3.7213944969936E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2185328019,-39309909712738] |
[a1,a2,a3,a4,a6] |
j |
13141891860831409148932/4237307541832617 |
j-invariant |
L |
4.3279762666516 |
L(r)(E,1)/r! |
Ω |
0.022081511584096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344d1 9576x1 |
Quadratic twists by: -3 -7 |