Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63580n |
Isogeny class |
Conductor |
63580 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1498176 |
Modular degree for the optimal curve |
Δ |
-312237135301541120 = -1 · 28 · 5 · 112 · 1710 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8379940,9339878120] |
[a1,a2,a3,a4,a6] |
j |
-126100646224/605 |
j-invariant |
L |
1.6231007799592 |
L(r)(E,1)/r! |
Ω |
0.27051679697835 |
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 |
63580b1 |
Quadratic twists by: 17 |