Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24050s |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
15038465000000 = 26 · 57 · 133 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8188,214992] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:664:1] |
Generators of the group modulo torsion |
j |
3885442650361/962461760 |
j-invariant |
L |
5.5333942270651 |
L(r)(E,1)/r! |
Ω |
0.65712943758885 |
Real period |
R |
0.46780858200549 |
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 |
4810d1 |
Quadratic twists by: 5 |