Atkin-Lehner |
2+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
115640d |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
-8707155430400 = -1 · 210 · 52 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 2 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1255723,-541612778] |
[a1,a2,a3,a4,a6] |
j |
-37095478898436/1475 |
j-invariant |
L |
0.85571141509852 |
L(r)(E,1)/r! |
Ω |
0.071309287272022 |
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 |
115640h1 |
Quadratic twists by: -7 |