Atkin-Lehner |
2- 3- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29370bo |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
620294400 = 28 · 32 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-310,1700] |
[a1,a2,a3,a4,a6] |
Generators |
[2:32:1] |
Generators of the group modulo torsion |
j |
3295310559841/620294400 |
j-invariant |
L |
11.532241394158 |
L(r)(E,1)/r! |
Ω |
1.5440431401036 |
Real period |
R |
0.46680372355822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88110l1 |
Quadratic twists by: -3 |