Atkin-Lehner |
3- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65067t |
Isogeny class |
Conductor |
65067 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-245246747537463543 = -1 · 34 · 239 · 412 |
Discriminant |
Eigenvalues |
1 3- -2 2 6 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,69023,-22775449] |
[a1,a2,a3,a4,a6] |
j |
245667233447/1656670887 |
j-invariant |
L |
4.9817132453068 |
L(r)(E,1)/r! |
Ω |
0.15567853898454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829g1 |
Quadratic twists by: -23 |