Atkin-Lehner |
2+ 3- 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650bd |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3601920 |
Modular degree for the optimal curve |
Δ |
-1791508601074218750 = -1 · 2 · 310 · 513 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 2 1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-540251,-165898852] |
[a1,a2,a3,a4,a6] |
Generators |
[1392:-42884:1] |
Generators of the group modulo torsion |
j |
-1116064434736859041/114656550468750 |
j-invariant |
L |
5.4317890708027 |
L(r)(E,1)/r! |
Ω |
0.087539205045549 |
Real period |
R |
0.77562234944544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999262149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930bd1 |
Quadratic twists by: 5 |