Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
118354o |
Isogeny class |
Conductor |
118354 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
8017920 |
Modular degree for the optimal curve |
Δ |
-5.448785216499E+22 |
Discriminant |
Eigenvalues |
2- -1 1 -1 2 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3489630,10948313263] |
[a1,a2,a3,a4,a6] |
Generators |
[9887:1001065:1] |
Generators of the group modulo torsion |
j |
111416568869159/1291777212416 |
j-invariant |
L |
9.1199349755772 |
L(r)(E,1)/r! |
Ω |
0.082555711934178 |
Real period |
R |
0.76715323856675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006b1 |
Quadratic twists by: -59 |