Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
90246v |
Isogeny class |
Conductor |
90246 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-28140041305569024 = -1 · 28 · 39 · 137 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -3 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85771,12587249] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:4673:1] |
Generators of the group modulo torsion |
j |
-14457238157881/5829947136 |
j-invariant |
L |
12.933253357435 |
L(r)(E,1)/r! |
Ω |
0.35087501232999 |
Real period |
R |
0.12798611499618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942d1 |
Quadratic twists by: 13 |