Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
20600s |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-659200 = -1 · 28 · 52 · 103 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 2 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
27440/103 |
j-invariant |
L |
4.592394166293 |
L(r)(E,1)/r! |
Ω |
1.4606188290389 |
Real period |
R |
0.78603569853247 |
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 |
41200f1 20600h1 |
Quadratic twists by: -4 5 |