Atkin-Lehner |
2+ 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
112336a |
Isogeny class |
Conductor |
112336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-29088733184 = -1 · 211 · 72 · 173 · 59 |
Discriminant |
Eigenvalues |
2+ 3 2 7+ -6 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139,-8230] |
[a1,a2,a3,a4,a6] |
j |
-145023426/14203483 |
j-invariant |
L |
2.0872443575677 |
L(r)(E,1)/r! |
Ω |
0.52181139724557 |
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 |
56168d1 |
Quadratic twists by: -4 |