Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
88360b |
Isogeny class |
Conductor |
88360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74249472 |
Modular degree for the optimal curve |
Δ |
-2.1858017052788E+29 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -6 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3670765988,88507907721412] |
[a1,a2,a3,a4,a6] |
j |
-19092953835942912/762939453125 |
j-invariant |
L |
1.0009566020305 |
L(r)(E,1)/r! |
Ω |
0.031279890690419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88360i1 |
Quadratic twists by: -47 |