Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336bp |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
6637878016 = 28 · 7 · 115 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11- -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11044,-443044] |
[a1,a2,a3,a4,a6] |
j |
581972233018192/25929211 |
j-invariant |
L |
2.3285514786503 |
L(r)(E,1)/r! |
Ω |
0.46571029573009 |
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 |
7084b1 113344dw1 |
Quadratic twists by: -4 8 |