Atkin-Lehner |
2+ 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350t |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
1.1992608866304E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1023051,-361845002] |
[a1,a2,a3,a4,a6] |
j |
7578703708393682593/767526967443456 |
j-invariant |
L |
1.2087650765885 |
L(r)(E,1)/r! |
Ω |
0.15109561662911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894h1 |
Quadratic twists by: 5 |