Atkin-Lehner |
2+ 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720w |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
9757300849920 = 28 · 39 · 5 · 13 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5465,-41805] |
[a1,a2,a3,a4,a6] |
j |
70523476274176/38114456445 |
j-invariant |
L |
5.3245750338406 |
L(r)(E,1)/r! |
Ω |
0.59161946810115 |
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 |
48360v1 |
Quadratic twists by: -4 |