Atkin-Lehner |
3+ 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113475c |
Isogeny class |
Conductor |
113475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
47872265625 = 34 · 58 · 17 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 6 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19625,1050000] |
[a1,a2,a3,a4,a6] |
j |
53501660292241/3063825 |
j-invariant |
L |
4.2820836263956 |
L(r)(E,1)/r! |
Ω |
1.0705209610597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22695h1 |
Quadratic twists by: 5 |