Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400ce |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
668467200 = 219 · 3 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328,2032] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:64:1] |
Generators of the group modulo torsion |
j |
38226865/6528 |
j-invariant |
L |
4.0871797571837 |
L(r)(E,1)/r! |
Ω |
1.5406210647158 |
Real period |
R |
0.66323573180822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2550l1 81600ir1 61200es1 20400dp1 |
Quadratic twists by: -4 8 -3 5 |