Atkin-Lehner |
2- 3- 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790bz |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
3465175747500000 = 25 · 38 · 57 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77603,7843331] |
[a1,a2,a3,a4,a6] |
j |
70896773214276841/4753327500000 |
j-invariant |
L |
4.3696110848686 |
L(r)(E,1)/r! |
Ω |
0.43696111053924 |
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 |
21930t1 |
Quadratic twists by: -3 |