Atkin-Lehner |
2+ 5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550s |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
318577343750 = 2 · 58 · 173 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 -6 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2826,50798] |
[a1,a2,a3,a4,a6] |
Generators |
[-434:1913:8] |
Generators of the group modulo torsion |
j |
6386445625/815558 |
j-invariant |
L |
1.6915414606429 |
L(r)(E,1)/r! |
Ω |
0.93134519830891 |
Real period |
R |
1.8162346938735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997055 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70550ba1 |
Quadratic twists by: 5 |