Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432cg |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-1.5293300945862E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23894931,74574364754] |
[a1,a2,a3,a4,a6] |
j |
-505304979693115442833/512169554353324032 |
j-invariant |
L |
0.61721022899214 |
L(r)(E,1)/r! |
Ω |
0.077151278623829 |
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 |
4554k1 12144v1 |
Quadratic twists by: -4 -3 |