Atkin-Lehner |
2- 3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
93060n |
Isogeny class |
Conductor |
93060 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-1162213637310000 = -1 · 24 · 314 · 54 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-285492,58736549] |
[a1,a2,a3,a4,a6] |
Generators |
[-377:10620:1] [323:470:1] |
Generators of the group modulo torsion |
j |
-220626680261361664/99641086875 |
j-invariant |
L |
11.32290533504 |
L(r)(E,1)/r! |
Ω |
0.48026591403631 |
Real period |
R |
2.9470406404126 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31020e1 |
Quadratic twists by: -3 |