Atkin-Lehner |
2- 3+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5226c |
Isogeny class |
Conductor |
5226 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2720 |
Modular degree for the optimal curve |
Δ |
543504 = 24 · 3 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-709,6971] |
[a1,a2,a3,a4,a6] |
j |
39418555113937/543504 |
j-invariant |
L |
1.3325723648417 |
L(r)(E,1)/r! |
Ω |
2.6651447296834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41808n1 15678c1 67938c1 |
Quadratic twists by: -4 -3 13 |