Atkin-Lehner |
2- 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656x |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
23500800 |
Modular degree for the optimal curve |
Δ |
-1.6079851500679E+21 |
Discriminant |
Eigenvalues |
2- 3 -1 4 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300727483,-2007280165654] |
[a1,a2,a3,a4,a6] |
j |
-734316221791008644498664849/392574499528303664 |
j-invariant |
L |
7.2508054588378 |
L(r)(E,1)/r! |
Ω |
0.018127013794221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582e1 |
Quadratic twists by: -4 |