Atkin-Lehner |
2+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
115640c |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-2125770368750000 = -1 · 24 · 58 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ -4 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15778,2345777] |
[a1,a2,a3,a4,a6] |
j |
-4709505024/23046875 |
j-invariant |
L |
4.8290513435754 |
L(r)(E,1)/r! |
Ω |
0.40242091732143 |
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 |
115640i1 |
Quadratic twists by: -7 |