Atkin-Lehner |
2- 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448br |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-274032960454656 = -1 · 214 · 37 · 133 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14109,467170] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-1534:1] |
Generators of the group modulo torsion |
j |
104021936927/91773084 |
j-invariant |
L |
3.3976249272352 |
L(r)(E,1)/r! |
Ω |
0.35816833658775 |
Real period |
R |
0.79050932889094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999723443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13806e1 36816v1 |
Quadratic twists by: -4 -3 |