Atkin-Lehner |
2+ 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280t |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-40029390000 = -1 · 24 · 36 · 54 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1218,-18983] |
[a1,a2,a3,a4,a6] |
j |
-17132394496/3431875 |
j-invariant |
L |
1.5990306089787 |
L(r)(E,1)/r! |
Ω |
0.39975748695583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12920n1 |
Quadratic twists by: -3 |