Atkin-Lehner |
2+ 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990u |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-20443842720000000 = -1 · 211 · 36 · 57 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11970,-6863724] |
[a1,a2,a3,a4,a6] |
j |
260170604658719/28043680000000 |
j-invariant |
L |
1.4567529693792 |
L(r)(E,1)/r! |
Ω |
0.18209412116903 |
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 |
5110h1 |
Quadratic twists by: -3 |