Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880bo |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
206324496000000 = 210 · 36 · 56 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50067,-4256226] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:190:1] |
Generators of the group modulo torsion |
j |
18593062763076/276390625 |
j-invariant |
L |
6.6917888338277 |
L(r)(E,1)/r! |
Ω |
0.31944986840102 |
Real period |
R |
1.7456544035419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760bl2 5320b2 |
Quadratic twists by: -4 -3 |