Atkin-Lehner |
2- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86848y |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-43369806848 = -1 · 210 · 233 · 592 |
Discriminant |
Eigenvalues |
2- -1 -2 2 6 -1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1169,-17975] |
[a1,a2,a3,a4,a6] |
j |
-172678690048/42353327 |
j-invariant |
L |
2.4179929445158 |
L(r)(E,1)/r! |
Ω |
0.40299882548286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86848b1 21712c1 |
Quadratic twists by: -4 8 |