Atkin-Lehner |
2- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450bd |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-327250000 = -1 · 24 · 56 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,170,-203] |
[a1,a2,a3,a4,a6] |
j |
34965783/20944 |
j-invariant |
L |
3.9959035551071 |
L(r)(E,1)/r! |
Ω |
0.99897588864739 |
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 |
2618b1 |
Quadratic twists by: 5 |