Atkin-Lehner |
3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66309m |
Isogeny class |
Conductor |
66309 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
3.8727531866289E+20 |
Discriminant |
Eigenvalues |
1 3- 3 3 3 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2653822,-1368598087] |
[a1,a2,a3,a4,a6] |
j |
2328995685476377/436364746371 |
j-invariant |
L |
8.3873108120814 |
L(r)(E,1)/r! |
Ω |
0.11981872585687 |
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 |
2139b1 |
Quadratic twists by: -31 |