Atkin-Lehner |
2+ 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
9888b |
Isogeny class |
Conductor |
9888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15488 |
Modular degree for the optimal curve |
Δ |
-74736193536 = -1 · 212 · 311 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 0 -1 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3457,-78191] |
[a1,a2,a3,a4,a6] |
j |
-1115802998848/18246141 |
j-invariant |
L |
1.24400599396 |
L(r)(E,1)/r! |
Ω |
0.31100149849001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9888d1 19776bg1 29664i1 |
Quadratic twists by: -4 8 -3 |