Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430ev |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
9201729600 = 26 · 36 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-587,-2789] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:44:1] |
Generators of the group modulo torsion |
j |
89314623/36800 |
j-invariant |
L |
11.323485809217 |
L(r)(E,1)/r! |
Ω |
1.005880068719 |
Real period |
R |
0.93810767904769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270d1 101430dv1 |
Quadratic twists by: -3 -7 |