Atkin-Lehner |
2+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72670m |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
561600 |
Modular degree for the optimal curve |
Δ |
-22799673651950 = -1 · 2 · 52 · 139 · 43 |
Discriminant |
Eigenvalues |
2+ 3 5- -3 -5 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20734,-1166710] |
[a1,a2,a3,a4,a6] |
j |
-92959677/2150 |
j-invariant |
L |
0.79462782748212 |
L(r)(E,1)/r! |
Ω |
0.19865695200972 |
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 |
72670t1 |
Quadratic twists by: 13 |