Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600bd |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
1060449937300000000 = 28 · 58 · 139 |
Discriminant |
Eigenvalues |
2+ -3 5- 2 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-422500,-93372500] |
[a1,a2,a3,a4,a6] |
j |
17280000/2197 |
j-invariant |
L |
1.132952042119 |
L(r)(E,1)/r! |
Ω |
0.18882534036186 |
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 |
33800bc1 67600r1 5200i1 |
Quadratic twists by: -4 5 13 |