Atkin-Lehner |
2+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38480c |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
106734218614400000 = 210 · 55 · 13 · 376 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -6 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148616,15417220] |
[a1,a2,a3,a4,a6] |
j |
354505830225180196/104232635365625 |
j-invariant |
L |
0.62166025540285 |
L(r)(E,1)/r! |
Ω |
0.31083012771358 |
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 |
19240i1 |
Quadratic twists by: -4 |