Atkin-Lehner |
2+ 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
15656h |
Isogeny class |
Conductor |
15656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-13745216512 = -1 · 210 · 194 · 103 |
Discriminant |
Eigenvalues |
2+ -2 0 0 2 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-928,11952] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:152:1] |
Generators of the group modulo torsion |
j |
-86404346500/13423063 |
j-invariant |
L |
3.7604077380031 |
L(r)(E,1)/r! |
Ω |
1.2113847107436 |
Real period |
R |
1.5521112759029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31312b1 125248k1 |
Quadratic twists by: -4 8 |