Atkin-Lehner |
2+ 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658q |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-50183874 = -1 · 2 · 35 · 133 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 0 13- -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1642,-25738] |
[a1,a2,a3,a4,a6] |
j |
-222655204981/22842 |
j-invariant |
L |
3.7502073970216 |
L(r)(E,1)/r! |
Ω |
0.37502073980628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47658bi1 |
Quadratic twists by: 13 |