Atkin-Lehner |
2+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38480j |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72192 |
Modular degree for the optimal curve |
Δ |
25012000000 = 28 · 56 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3 5- 3 5 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1972,-32836] |
[a1,a2,a3,a4,a6] |
j |
3312870644736/97703125 |
j-invariant |
L |
8.6126605046645 |
L(r)(E,1)/r! |
Ω |
0.71772170872462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19240g1 |
Quadratic twists by: -4 |