Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650bg |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
4117585300 = 22 · 52 · 175 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -3 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-488,2732] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:70:1] |
Generators of the group modulo torsion |
j |
514160595625/164703412 |
j-invariant |
L |
8.027562946309 |
L(r)(E,1)/r! |
Ω |
1.2821986308399 |
Real period |
R |
0.62607795338626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24650l1 |
Quadratic twists by: 5 |