Atkin-Lehner |
2- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680m |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-21472000 = -1 · 28 · 53 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ -5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4581,-120881] |
[a1,a2,a3,a4,a6] |
j |
-41539323756544/83875 |
j-invariant |
L |
0.5802986089657 |
L(r)(E,1)/r! |
Ω |
0.29014930421789 |
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 |
13420b1 |
Quadratic twists by: -4 |