Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31740k |
Isogeny class |
Conductor |
31740 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
12340512000 = 28 · 36 · 53 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1165,-14737] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:-30:1] |
Generators of the group modulo torsion |
j |
1292345344/91125 |
j-invariant |
L |
7.1473771643108 |
L(r)(E,1)/r! |
Ω |
0.8207527831475 |
Real period |
R |
0.16126516911529 |
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 |
126960bw1 95220q1 31740e1 |
Quadratic twists by: -4 -3 -23 |