Atkin-Lehner |
2+ 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650p |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
3081250000 = 24 · 58 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 3 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-367,541] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:-47:1] |
Generators of the group modulo torsion |
j |
14016105/7888 |
j-invariant |
L |
2.0439297724916 |
L(r)(E,1)/r! |
Ω |
1.2267773267382 |
Real period |
R |
0.27768279919851 |
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 |
24650ba1 |
Quadratic twists by: 5 |