Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400bd |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
154188748800 = 211 · 311 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3048,60948] |
[a1,a2,a3,a4,a6] |
Generators |
[12:162:1] |
Generators of the group modulo torsion |
j |
61184457890/3011499 |
j-invariant |
L |
6.6006869530163 |
L(r)(E,1)/r! |
Ω |
1.0135529713309 |
Real period |
R |
0.29601928426409 |
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 |
10200f1 81600ge1 61200bf1 20400l1 |
Quadratic twists by: -4 8 -3 5 |