Atkin-Lehner |
2- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5330h |
Isogeny class |
Conductor |
5330 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-608920520000 = -1 · 26 · 54 · 135 · 41 |
Discriminant |
Eigenvalues |
2- 1 5- -2 -2 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1055,-35063] |
[a1,a2,a3,a4,a6] |
Generators |
[24:53:1] |
Generators of the group modulo torsion |
j |
129854009067119/608920520000 |
j-invariant |
L |
6.403934711998 |
L(r)(E,1)/r! |
Ω |
0.461434450623 |
Real period |
R |
0.1156526621017 |
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 |
42640q1 47970k1 26650b1 69290c1 |
Quadratic twists by: -4 -3 5 13 |