Atkin-Lehner |
2+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86632k |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-224894395624301312 = -1 · 28 · 77 · 137 · 17 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 3 13- 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-211892,-43861292] |
[a1,a2,a3,a4,a6] |
j |
-34933430581072/7467073523 |
j-invariant |
L |
3.0800558136731 |
L(r)(E,1)/r! |
Ω |
0.1100019904506 |
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 |
12376b1 |
Quadratic twists by: -7 |