Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558m |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
9464512512 = 216 · 3 · 7 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3094,64787] |
[a1,a2,a3,a4,a6] |
j |
3275619238041697/9464512512 |
j-invariant |
L |
2.5988625958832 |
L(r)(E,1)/r! |
Ω |
1.2994312979416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100464cf1 37674e1 87906bs1 |
Quadratic twists by: -4 -3 -7 |