Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848w |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1010270016 = -1 · 26 · 33 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,156,1386] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:30:1] [9:60:1] |
Generators of the group modulo torsion |
j |
6518244032/15785469 |
j-invariant |
L |
7.8488930772654 |
L(r)(E,1)/r! |
Ω |
1.0885216282468 |
Real period |
R |
4.8070660692996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848m1 11424a4 68544bn1 |
Quadratic twists by: -4 8 -3 |