Atkin-Lehner |
3- 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
45135g |
Isogeny class |
Conductor |
45135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
7711737890625 = 39 · 58 · 17 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6953,180456] |
[a1,a2,a3,a4,a6] |
j |
50986395802441/10578515625 |
j-invariant |
L |
0.70078149266675 |
L(r)(E,1)/r! |
Ω |
0.70078149306339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15045d1 |
Quadratic twists by: -3 |