Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58870g |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1127520 |
Modular degree for the optimal curve |
Δ |
-42896129911405750 = -1 · 2 · 53 · 73 · 298 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 2 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2352014,-1387826702] |
[a1,a2,a3,a4,a6] |
Generators |
[14023011:597627547:4913] |
Generators of the group modulo torsion |
j |
-2876467955481/85750 |
j-invariant |
L |
4.5700305471855 |
L(r)(E,1)/r! |
Ω |
0.060954924538275 |
Real period |
R |
8.3304372165705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870s1 |
Quadratic twists by: 29 |