Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400fd |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
632754738000 = 24 · 32 · 53 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35813,-2596428] |
[a1,a2,a3,a4,a6] |
j |
2539966281285632/316377369 |
j-invariant |
L |
2.7763972274389 |
L(r)(E,1)/r! |
Ω |
0.34704965294195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23100bh1 92400ik1 |
Quadratic twists by: -4 5 |