Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400fb |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
37324800 |
Modular degree for the optimal curve |
Δ |
-2.3577308082886E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-857701208,-9696242819088] |
[a1,a2,a3,a4,a6] |
j |
-43612581618346739773945/147358175518034712 |
j-invariant |
L |
1.0041075011478 |
L(r)(E,1)/r! |
Ω |
0.013945936955813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550bg1 92400hc1 |
Quadratic twists by: -4 5 |