Atkin-Lehner |
2- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24674j |
Isogeny class |
Conductor |
24674 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-5994400256 = -1 · 29 · 133 · 732 |
Discriminant |
Eigenvalues |
2- -3 1 -1 -6 13- -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,228,3423] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-77:1] [-3:53:1] |
Generators of the group modulo torsion |
j |
599077107/2728448 |
j-invariant |
L |
7.4508402325513 |
L(r)(E,1)/r! |
Ω |
0.96401494455949 |
Real period |
R |
0.21469354329577 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24674e1 |
Quadratic twists by: 13 |