Atkin-Lehner |
2- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
85400r |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
25421872000000 = 210 · 56 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -3 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47808,-4032112] |
[a1,a2,a3,a4,a6] |
j |
755291402212/1588867 |
j-invariant |
L |
1.2916312970641 |
L(r)(E,1)/r! |
Ω |
0.32290780540475 |
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 |
3416a1 |
Quadratic twists by: 5 |