Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848l |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
55931904 = 210 · 33 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-229,-1211] |
[a1,a2,a3,a4,a6] |
j |
1302642688/54621 |
j-invariant |
L |
1.2300013730299 |
L(r)(E,1)/r! |
Ω |
1.2300013730299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848ck1 1428d1 68544ck1 |
Quadratic twists by: -4 8 -3 |