Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24794bo |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
5553856 = 26 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 11+ -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:9:1] [-3:9:1] |
Generators of the group modulo torsion |
j |
34965783/16192 |
j-invariant |
L |
6.9910812417756 |
L(r)(E,1)/r! |
Ω |
1.8993225494555 |
Real period |
R |
0.3067357377757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24794bm1 |
Quadratic twists by: -7 |