Atkin-Lehner |
3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
90675br |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
2204388655814431125 = 313 · 53 · 135 · 313 |
Discriminant |
Eigenvalues |
0 3- 5- 5 -2 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-70849380,229536721206] |
[a1,a2,a3,a4,a6] |
j |
431612817284032565608448/24190822011681 |
j-invariant |
L |
2.3459439705684 |
L(r)(E,1)/r! |
Ω |
0.19549533270296 |
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 |
30225bd1 90675cf1 |
Quadratic twists by: -3 5 |