Atkin-Lehner |
2- 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662bf |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
159327110096 = 24 · 7 · 117 · 73 |
Discriminant |
Eigenvalues |
2- 2 3 7- 11- -4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6234,185879] |
[a1,a2,a3,a4,a6] |
j |
15124197817/89936 |
j-invariant |
L |
8.2314471429078 |
L(r)(E,1)/r! |
Ω |
1.0289309449798 |
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 |
11242c1 |
Quadratic twists by: -11 |