Atkin-Lehner |
2- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
51920s |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
265830400 = 214 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11- -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163,162] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:30:1] [-1:18:1] |
Generators of the group modulo torsion |
j |
116930169/64900 |
j-invariant |
L |
7.824837880893 |
L(r)(E,1)/r! |
Ω |
1.5116586491429 |
Real period |
R |
2.5881629709621 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6490a1 |
Quadratic twists by: -4 |