Atkin-Lehner |
3+ 5- 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
91425i |
Isogeny class |
Conductor |
91425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
750848383125 = 34 · 54 · 234 · 53 |
Discriminant |
Eigenvalues |
-2 3+ 5- 1 -1 2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21408,1212068] |
[a1,a2,a3,a4,a6] |
Generators |
[78:103:1] [-83:1552:1] |
Generators of the group modulo torsion |
j |
1736170087321600/1201357413 |
j-invariant |
L |
5.1498045801845 |
L(r)(E,1)/r! |
Ω |
0.89097804643997 |
Real period |
R |
0.24083106392451 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91425j1 |
Quadratic twists by: 5 |