Atkin-Lehner |
2+ 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850c |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
37324800 |
Modular degree for the optimal curve |
Δ |
-6.2759703636169E+25 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3059880317,-65148902907659] |
[a1,a2,a3,a4,a6] |
j |
-202776212125689100938002839329/4016621032714843750000 |
j-invariant |
L |
0.040597826696894 |
L(r)(E,1)/r! |
Ω |
0.010149459919409 |
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 |
14570f1 |
Quadratic twists by: 5 |