Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624p |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
2077910990848 = 215 · 78 · 11 |
Discriminant |
Eigenvalues |
2- -3 2 7+ 11- -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4459,-91238] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:98:1] |
Generators of the group modulo torsion |
j |
415233/88 |
j-invariant |
L |
2.8532177071965 |
L(r)(E,1)/r! |
Ω |
0.59299584420661 |
Real period |
R |
0.80192178272175 |
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 |
1078h1 34496cc1 77616ek1 8624bc1 |
Quadratic twists by: -4 8 -3 -7 |