Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700be |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
449452800 = 28 · 35 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,6948] |
[a1,a2,a3,a4,a6] |
Generators |
[12:18:1] |
Generators of the group modulo torsion |
j |
21250000/243 |
j-invariant |
L |
7.8054969115693 |
L(r)(E,1)/r! |
Ω |
1.6758297086311 |
Real period |
R |
0.31051273172998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700q1 86700m1 |
Quadratic twists by: 5 17 |