Atkin-Lehner |
2+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52234c |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1300320 |
Modular degree for the optimal curve |
Δ |
44931911969491456 = 29 · 78 · 135 · 41 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6557010,-6463131804] |
[a1,a2,a3,a4,a6] |
j |
5408250944666309593/7794182656 |
j-invariant |
L |
1.8869184651944 |
L(r)(E,1)/r! |
Ω |
0.094345923230812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52234j1 |
Quadratic twists by: -7 |