Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
62560n |
Isogeny class |
Conductor |
62560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-5004800 = -1 · 29 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 4 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-116] |
[a1,a2,a3,a4,a6] |
Generators |
[282:1685:8] |
Generators of the group modulo torsion |
j |
-941192/9775 |
j-invariant |
L |
8.7478180026618 |
L(r)(E,1)/r! |
Ω |
1.0310995725251 |
Real period |
R |
4.241985078808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62560k1 125120cu1 |
Quadratic twists by: -4 8 |