Atkin-Lehner |
2- 7+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
101626s |
Isogeny class |
Conductor |
101626 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-210775801743346 = -1 · 2 · 78 · 173 · 612 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ -2 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5189297,-4552157135] |
[a1,a2,a3,a4,a6] |
j |
-2680803486416010193/36562546 |
j-invariant |
L |
4.8013527633096 |
L(r)(E,1)/r! |
Ω |
0.050014096342743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101626x1 |
Quadratic twists by: -7 |