Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675n |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
4919080078125 = 32 · 59 · 234 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 -5 0 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4408,37593] |
[a1,a2,a3,a4,a6] |
j |
2166784/1125 |
j-invariant |
L |
2.7068926825913 |
L(r)(E,1)/r! |
Ω |
0.67672317066126 |
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 |
119025bv1 7935g1 39675o1 |
Quadratic twists by: -3 5 -23 |