Atkin-Lehner |
2+ 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87514c |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
2738718599876 = 22 · 79 · 192 · 47 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -2 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15836,-758948] |
[a1,a2,a3,a4,a6] |
Generators |
[732:19114:1] |
Generators of the group modulo torsion |
j |
3733252610697/23278724 |
j-invariant |
L |
5.4013818554324 |
L(r)(E,1)/r! |
Ω |
0.42574545837854 |
Real period |
R |
6.3434403639158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12502a1 |
Quadratic twists by: -7 |