Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190cl |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1372800 |
Modular degree for the optimal curve |
Δ |
-358039508397918750 = -1 · 2 · 35 · 55 · 138 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -1 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3799,-28788345] |
[a1,a2,a3,a4,a6] |
Generators |
[3254482:8742793:10648] |
Generators of the group modulo torsion |
j |
7433231/438918750 |
j-invariant |
L |
13.541356866921 |
L(r)(E,1)/r! |
Ω |
0.13930216201716 |
Real period |
R |
9.7208519015478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190bh1 |
Quadratic twists by: 13 |