Atkin-Lehner |
3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675t |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-3.3799613845193E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,49495,-279694128] |
[a1,a2,a3,a4,a6] |
j |
1177249106879/2967318636615 |
j-invariant |
L |
0.7687619073896 |
L(r)(E,1)/r! |
Ω |
0.096095237216333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24225c1 14535i1 |
Quadratic twists by: -3 5 |