Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616by |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-137085044391936 = -1 · 221 · 313 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -2 7 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155532,-23615728] |
[a1,a2,a3,a4,a6] |
j |
-2177286259681/717336 |
j-invariant |
L |
1.9232069477293 |
L(r)(E,1)/r! |
Ω |
0.12020043423309 |
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 |
23616o1 5904p1 7872r1 |
Quadratic twists by: -4 8 -3 |