Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13888t |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
3640655872 = 224 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 0 0 7- -2 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-460,2448] |
[a1,a2,a3,a4,a6] |
j |
41063625/13888 |
j-invariant |
L |
1.290596489614 |
L(r)(E,1)/r! |
Ω |
1.290596489614 |
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 |
13888a1 3472f1 124992gl1 97216bj1 |
Quadratic twists by: -4 8 -3 -7 |