Atkin-Lehner |
2+ 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402w |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
117504000 |
Modular degree for the optimal curve |
Δ |
-6.9546967295886E+23 |
Discriminant |
Eigenvalues |
2+ -3 -1 4 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2274251590,-41744586132188] |
[a1,a2,a3,a4,a6] |
j |
-734316221791008644498664849/392574499528303664 |
j-invariant |
L |
0.65585902294952 |
L(r)(E,1)/r! |
Ω |
0.01093100060455 |
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 |
10582e1 |
Quadratic twists by: -11 |