Atkin-Lehner |
3+ 13+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27807c |
Isogeny class |
Conductor |
27807 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54240 |
Modular degree for the optimal curve |
Δ |
2382587181 = 32 · 135 · 23 · 31 |
Discriminant |
Eigenvalues |
2 3+ -1 -1 -2 13+ 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17616,905825] |
[a1,a2,a3,a4,a6] |
j |
604602961576136704/2382587181 |
j-invariant |
L |
2.552668100545 |
L(r)(E,1)/r! |
Ω |
1.2763340502723 |
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 |
83421f1 |
Quadratic twists by: -3 |