Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9048o |
Isogeny class |
Conductor |
9048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2752 |
Modular degree for the optimal curve |
Δ |
-30111744 = -1 · 211 · 3 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 1 2 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-384,2784] |
[a1,a2,a3,a4,a6] |
j |
-3065617154/14703 |
j-invariant |
L |
4.2036738980394 |
L(r)(E,1)/r! |
Ω |
2.1018369490197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18096h1 72384l1 27144g1 117624q1 |
Quadratic twists by: -4 8 -3 13 |