Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93248bh |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
176366563753984 = 217 · 315 · 47 |
Discriminant |
Eigenvalues |
2- -1 1 1 4 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16545,-507071] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:248:1] |
Generators of the group modulo torsion |
j |
3821557067858/1345570097 |
j-invariant |
L |
6.3990591294058 |
L(r)(E,1)/r! |
Ω |
0.43314803134385 |
Real period |
R |
1.4773376893403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93248h1 23312a1 |
Quadratic twists by: -4 8 |