Atkin-Lehner |
2+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66470d |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-21270400 = -1 · 27 · 52 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 1 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-218,1172] |
[a1,a2,a3,a4,a6] |
j |
-3993046921/73600 |
j-invariant |
L |
4.3094757552038 |
L(r)(E,1)/r! |
Ω |
2.1547378830115 |
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 |
66470l1 |
Quadratic twists by: 17 |