Atkin-Lehner |
2- 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
56880p |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-25476415488000 = -1 · 217 · 39 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7317,30618] |
[a1,a2,a3,a4,a6] |
j |
537367797/316000 |
j-invariant |
L |
1.6286890558041 |
L(r)(E,1)/r! |
Ω |
0.40717226410408 |
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 |
7110o1 56880u1 |
Quadratic twists by: -4 -3 |