Atkin-Lehner |
2- 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39072o |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-373386569206464 = -1 · 26 · 318 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 6 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13518,-701460] |
[a1,a2,a3,a4,a6] |
j |
4268241036312128/5834165143851 |
j-invariant |
L |
5.1362498887475 |
L(r)(E,1)/r! |
Ω |
0.28534721604426 |
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 |
39072i1 78144by2 117216i1 |
Quadratic twists by: -4 8 -3 |