Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966du |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-60665724 = -1 · 22 · 32 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57,405] |
[a1,a2,a3,a4,a6] |
j |
-12167/36 |
j-invariant |
L |
6.9426863162704 |
L(r)(E,1)/r! |
Ω |
1.7356715581044 |
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 |
84966cy1 84966cx1 |
Quadratic twists by: -7 17 |