Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529bg |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-517255332867 = -1 · 37 · 72 · 136 |
Discriminant |
Eigenvalues |
2 3- 2 7- -2 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3549,88429] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2363:8] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
14.959482307281 |
L(r)(E,1)/r! |
Ω |
0.90410318022692 |
Real period |
R |
4.1365528385295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24843g1 74529q1 441f1 |
Quadratic twists by: -3 -7 13 |