Atkin-Lehner |
2+ 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950i |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34467840 |
Modular degree for the optimal curve |
Δ |
4.184375E+23 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 -3 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1048593651,-13069549602802] |
[a1,a2,a3,a4,a6] |
j |
8160661370052262371584932129/26780000000000000000 |
j-invariant |
L |
0.47755167136084 |
L(r)(E,1)/r! |
Ω |
0.026530646577117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390e1 |
Quadratic twists by: 5 |