Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bu |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8616960 |
Modular degree for the optimal curve |
Δ |
4354164770312500 = 22 · 58 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 11- 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-205264463,1131910794917] |
[a1,a2,a3,a4,a6] |
Generators |
[87079737854:682631468373:11089567] |
Generators of the group modulo torsion |
j |
285564033218841289/1300 |
j-invariant |
L |
13.248004004332 |
L(r)(E,1)/r! |
Ω |
0.20963287401299 |
Real period |
R |
15.799053543854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730h1 78650o1 |
Quadratic twists by: 5 -11 |