Atkin-Lehner |
2+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192o |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-14744576 = -1 · 210 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21952,-1259216] |
[a1,a2,a3,a4,a6] |
j |
-9442357751332/119 |
j-invariant |
L |
1.5688783411339 |
L(r)(E,1)/r! |
Ω |
0.19610984053355 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192t1 |
Quadratic twists by: -11 |