Atkin-Lehner |
2+ 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
37720c |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
1835756960000 = 28 · 54 · 234 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -6 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7836,-261536] |
[a1,a2,a3,a4,a6] |
j |
207884663379664/7170925625 |
j-invariant |
L |
1.01699887923 |
L(r)(E,1)/r! |
Ω |
0.50849943961446 |
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 |
75440e1 |
Quadratic twists by: -4 |