Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24816n |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-972342548103168 = -1 · 217 · 315 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 0 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14136,-1358352] |
[a1,a2,a3,a4,a6] |
Generators |
[242:4022:1] |
Generators of the group modulo torsion |
j |
76262783193143/237388317408 |
j-invariant |
L |
2.5768512388597 |
L(r)(E,1)/r! |
Ω |
0.25321872127137 |
Real period |
R |
5.0881925829215 |
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 |
3102e1 99264bw1 74448bc1 |
Quadratic twists by: -4 8 -3 |