Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5148f |
Isogeny class |
Conductor |
5148 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
13375307088 = 24 · 312 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4800,-127879] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:11:1] |
Generators of the group modulo torsion |
j |
1048576000000/1146717 |
j-invariant |
L |
3.7215822704578 |
L(r)(E,1)/r! |
Ω |
0.57361138369687 |
Real period |
R |
1.0813308964432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20592bd1 82368r1 1716a1 128700s1 |
Quadratic twists by: -4 8 -3 5 |