Atkin-Lehner |
2+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
51920c |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
33696080 = 24 · 5 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11- 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-218,1207] |
[a1,a2,a3,a4,a6] |
j |
71609923584/2106005 |
j-invariant |
L |
2.0626062107034 |
L(r)(E,1)/r! |
Ω |
2.0626062094907 |
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 |
25960a1 |
Quadratic twists by: -4 |