Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ez |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
437225040 = 24 · 38 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,191] |
[a1,a2,a3,a4,a6] |
j |
67108864/37485 |
j-invariant |
L |
2.8947183548785 |
L(r)(E,1)/r! |
Ω |
1.4473591587235 |
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 |
21420y1 28560ck1 |
Quadratic twists by: -4 -3 |