Atkin-Lehner |
2+ 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190k |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
3322856251533312000 = 214 · 32 · 53 · 139 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-781628,250778832] |
[a1,a2,a3,a4,a6] |
j |
4980061835533/313344000 |
j-invariant |
L |
1.975432768939 |
L(r)(E,1)/r! |
Ω |
0.24692910140176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86190cg1 |
Quadratic twists by: 13 |