Atkin-Lehner |
2+ 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190f |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14826240 |
Modular degree for the optimal curve |
Δ |
3.5111168260342E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18093988,-8060278832] |
[a1,a2,a3,a4,a6] |
j |
4752182606640001/2546899200000 |
j-invariant |
L |
1.8689378793548 |
L(r)(E,1)/r! |
Ω |
0.077872409412897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190cd1 |
Quadratic twists by: 13 |