Atkin-Lehner |
2- 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
22372b |
Isogeny class |
Conductor |
22372 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-1192696064 = -1 · 28 · 73 · 172 · 47 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 1 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,156,1432] |
[a1,a2,a3,a4,a6] |
j |
1629561008/4658969 |
j-invariant |
L |
2.164032779605 |
L(r)(E,1)/r! |
Ω |
1.0820163898025 |
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 |
89488j1 |
Quadratic twists by: -4 |