Atkin-Lehner |
2+ 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498i |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-292463462368 = -1 · 25 · 7 · 117 · 67 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 11- 3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9884,-376656] |
[a1,a2,a3,a4,a6] |
j |
-60282398961/165088 |
j-invariant |
L |
0.95746587153219 |
L(r)(E,1)/r! |
Ω |
0.23936633908044 |
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 |
10318g1 |
Quadratic twists by: -11 |