Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15834u |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
1787595264 = 29 · 33 · 73 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-312,576] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:30:1] |
Generators of the group modulo torsion |
j |
3359498792833/1787595264 |
j-invariant |
L |
7.4421457002952 |
L(r)(E,1)/r! |
Ω |
1.3031446692369 |
Real period |
R |
0.63454587762292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126672bd1 47502x1 110838bn1 |
Quadratic twists by: -4 -3 -7 |