Atkin-Lehner |
3- 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
90525o |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-7638046875 = -1 · 34 · 57 · 17 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 1 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,492,-106] |
[a1,a2,a3,a4,a6] |
Generators |
[3:37:1] |
Generators of the group modulo torsion |
j |
841232384/488835 |
j-invariant |
L |
4.5510409450827 |
L(r)(E,1)/r! |
Ω |
0.78058861903059 |
Real period |
R |
0.72878351735605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105d1 |
Quadratic twists by: 5 |