Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848bg |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-265065212342697984 = -1 · 235 · 33 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -5 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-934241,-348758529] |
[a1,a2,a3,a4,a6] |
Generators |
[11347:1204224:1] |
Generators of the group modulo torsion |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
5.9507937073096 |
L(r)(E,1)/r! |
Ω |
0.076767666394573 |
Real period |
R |
1.2919488083962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22848bs1 714c1 68544ch1 |
Quadratic twists by: -4 8 -3 |