Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400bs |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-102000 = -1 · 24 · 3 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 3 -4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,3] |
[a1,a2,a3,a4,a6] |
j |
87808/51 |
j-invariant |
L |
3.9799008961455 |
L(r)(E,1)/r! |
Ω |
1.9899504480728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10200o1 81600hr1 61200cl1 20400p1 |
Quadratic twists by: -4 8 -3 5 |