Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328w |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-7399913324544 = -1 · 215 · 37 · 133 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -6 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7176,265716] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:-624:1] |
Generators of the group modulo torsion |
j |
-9978645018889/1806619464 |
j-invariant |
L |
4.6652586123062 |
L(r)(E,1)/r! |
Ω |
0.71434664952995 |
Real period |
R |
0.07774767760189 |
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 |
3666c1 117312bt1 87984bn1 |
Quadratic twists by: -4 8 -3 |