Atkin-Lehner |
2- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
51920q |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-7601607200000 = -1 · 28 · 55 · 115 · 59 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30636,-2078440] |
[a1,a2,a3,a4,a6] |
Generators |
[1759:73414:1] |
Generators of the group modulo torsion |
j |
-12422073804838864/29693778125 |
j-invariant |
L |
5.0605756513689 |
L(r)(E,1)/r! |
Ω |
0.18040483306249 |
Real period |
R |
5.6102439888885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12980a1 |
Quadratic twists by: -4 |