Atkin-Lehner |
2+ 3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558z |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-201164663156688 = -1 · 24 · 32 · 73 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27591,1889050] |
[a1,a2,a3,a4,a6] |
Generators |
[-1130:14355:8] [131:-792:1] |
Generators of the group modulo torsion |
j |
-10835823625/938448 |
j-invariant |
L |
9.8870523666764 |
L(r)(E,1)/r! |
Ω |
0.55235858333064 |
Real period |
R |
1.4916415810248 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96558cw1 |
Quadratic twists by: -11 |