Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700b |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
243562842250000 = 24 · 56 · 78 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -1 13+ 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105758,-13181363] |
[a1,a2,a3,a4,a6] |
j |
90770176/169 |
j-invariant |
L |
1.588622568246 |
L(r)(E,1)/r! |
Ω |
0.26477042819163 |
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 |
2548b1 63700u1 |
Quadratic twists by: 5 -7 |