Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hp |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
38475000000 = 26 · 34 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,-8262] |
[a1,a2,a3,a4,a6] |
Generators |
[53:300:1] |
Generators of the group modulo torsion |
j |
113379904/38475 |
j-invariant |
L |
9.1995856398482 |
L(r)(E,1)/r! |
Ω |
0.87050707833996 |
Real period |
R |
2.6420191937957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ga1 45600bd2 18240cd1 |
Quadratic twists by: -4 8 5 |