Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400cf |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-39843750000 = -1 · 24 · 3 · 511 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158,9687] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:25:1] |
Generators of the group modulo torsion |
j |
-1755904/159375 |
j-invariant |
L |
3.8847709435448 |
L(r)(E,1)/r! |
Ω |
0.94508846074952 |
Real period |
R |
2.0552419719864 |
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 |
5100m1 81600iq1 61200ep1 4080y1 |
Quadratic twists by: -4 8 -3 5 |