Atkin-Lehner |
2+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850d |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
76383613250000 = 24 · 56 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -3 1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-147026,-21707052] |
[a1,a2,a3,a4,a6] |
Generators |
[-223:161:1] [-219:117:1] |
Generators of the group modulo torsion |
j |
3902092369/848 |
j-invariant |
L |
5.7170202006077 |
L(r)(E,1)/r! |
Ω |
0.24381310013524 |
Real period |
R |
5.8620929244446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194l1 129850l1 |
Quadratic twists by: 5 -7 |