Atkin-Lehner |
2- 31- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8308d |
Isogeny class |
Conductor |
8308 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-2139708784 = -1 · 24 · 313 · 672 |
Discriminant |
Eigenvalues |
2- 2 -1 5 -4 0 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19546,1058349] |
[a1,a2,a3,a4,a6] |
Generators |
[75:93:1] |
Generators of the group modulo torsion |
j |
-51617816773406464/133731799 |
j-invariant |
L |
6.1559731095714 |
L(r)(E,1)/r! |
Ω |
1.2705404136173 |
Real period |
R |
0.80752686594269 |
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 |
33232i1 74772e1 |
Quadratic twists by: -4 -3 |