Atkin-Lehner |
2- 3- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
125424ba |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-4888632932082432 = -1 · 28 · 310 · 136 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -6 13- 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33576,-2389268] |
[a1,a2,a3,a4,a6] |
Generators |
[66:338:1] |
Generators of the group modulo torsion |
j |
22430713438208/26195092443 |
j-invariant |
L |
7.0351111291507 |
L(r)(E,1)/r! |
Ω |
0.23266320100142 |
Real period |
R |
1.2598882391566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31356h1 41808r1 |
Quadratic twists by: -4 -3 |