Atkin-Lehner |
2- 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
3894l |
Isogeny class |
Conductor |
3894 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
6009628361616 = 24 · 314 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4552,-9799] |
[a1,a2,a3,a4,a6] |
j |
10431251950649473/6009628361616 |
j-invariant |
L |
3.7980086265631 |
L(r)(E,1)/r! |
Ω |
0.63300143776052 |
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 |
31152w1 124608ba1 11682c1 97350be1 |
Quadratic twists by: -4 8 -3 5 |