Atkin-Lehner |
3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90675o |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-371824171875 = -1 · 310 · 56 · 13 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -1 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3000,-69719] |
[a1,a2,a3,a4,a6] |
j |
-262144000/32643 |
j-invariant |
L |
1.2812490847207 |
L(r)(E,1)/r! |
Ω |
0.32031229926905 |
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 |
30225a1 3627a1 |
Quadratic twists by: -3 5 |