Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400ik |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
9886792781250000 = 24 · 32 · 59 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-895333,-326344162] |
[a1,a2,a3,a4,a6] |
j |
2539966281285632/316377369 |
j-invariant |
L |
2.4832851440677 |
L(r)(E,1)/r! |
Ω |
0.15520532310918 |
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 |
23100n1 92400fd1 |
Quadratic twists by: -4 5 |