Atkin-Lehner |
2- 5+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45650r |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-393103562500 = -1 · 22 · 56 · 11 · 833 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1388,-36719] |
[a1,a2,a3,a4,a6] |
j |
-18927429625/25158628 |
j-invariant |
L |
5.963706790254 |
L(r)(E,1)/r! |
Ω |
0.37273167440975 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1826a1 |
Quadratic twists by: 5 |