Atkin-Lehner |
2+ 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304j |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-41013691632 = -1 · 24 · 36 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11019,445313] |
[a1,a2,a3,a4,a6] |
j |
-12685358647552/3516263 |
j-invariant |
L |
2.23948615535 |
L(r)(E,1)/r! |
Ω |
1.1197430769648 |
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 |
28152g1 6256c1 |
Quadratic twists by: -4 -3 |