Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560ch |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
278528 |
Modular degree for the optimal curve |
Δ |
19886653440 = 214 · 38 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20028,-1090928] |
[a1,a2,a3,a4,a6] |
Generators |
[174:832:1] |
Generators of the group modulo torsion |
j |
74385620944/1665 |
j-invariant |
L |
3.3371645143603 |
L(r)(E,1)/r! |
Ω |
0.4013199433437 |
Real period |
R |
4.1577357275458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999434455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560ff1 13320o1 35520bn1 |
Quadratic twists by: -4 8 -3 |