Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190ce |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
768041848080 = 24 · 32 · 5 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35240,2531225] |
[a1,a2,a3,a4,a6] |
j |
1002702430729/159120 |
j-invariant |
L |
6.9460961906721 |
L(r)(E,1)/r! |
Ω |
0.86826202730444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630c1 |
Quadratic twists by: 13 |