Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848o |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-15404379767046144 = -1 · 227 · 39 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -3 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6911,5965057] |
[a1,a2,a3,a4,a6] |
j |
139233463487/58763045376 |
j-invariant |
L |
1.8335222162698 |
L(r)(E,1)/r! |
Ω |
0.30558703604497 |
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 |
22848cl1 714i1 68544cp1 |
Quadratic twists by: -4 8 -3 |