Atkin-Lehner |
2+ 3- 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526k |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
240420803799278592 = 210 · 36 · 74 · 17 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-277317,-50950571] |
[a1,a2,a3,a4,a6] |
j |
3235389299848140625/329795341288448 |
j-invariant |
L |
1.6752967387828 |
L(r)(E,1)/r! |
Ω |
0.20941207264263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12614e1 |
Quadratic twists by: -3 |