Atkin-Lehner |
2- 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
58480n |
Isogeny class |
Conductor |
58480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
321873920000 = 214 · 54 · 17 · 432 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4000,92148] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:430:1] |
Generators of the group modulo torsion |
j |
1728432036001/78582500 |
j-invariant |
L |
5.5766450016349 |
L(r)(E,1)/r! |
Ω |
0.95463598100413 |
Real period |
R |
0.73020568999799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7310l1 |
Quadratic twists by: -4 |