Atkin-Lehner |
2- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
70516d |
Isogeny class |
Conductor |
70516 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7992 |
Modular degree for the optimal curve |
Δ |
4513024 = 28 · 172 · 61 |
Discriminant |
Eigenvalues |
2- -1 1 -2 4 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45,73] |
[a1,a2,a3,a4,a6] |
j |
139264/61 |
j-invariant |
L |
2.2050989105194 |
L(r)(E,1)/r! |
Ω |
2.2050989130019 |
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 |
70516g1 |
Quadratic twists by: 17 |