Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190s |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4.3474651214645E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-165127284907,-25827192712503299] |
[a1,a2,a3,a4,a6] |
Generators |
[-113487236508275190286862:10107833870506503474631:483476008641951779] |
Generators of the group modulo torsion |
j |
281076231077501634961715630808721/245403072288481536000000 |
j-invariant |
L |
2.6793303959707 |
L(r)(E,1)/r! |
Ω |
0.007489362768896 |
Real period |
R |
29.812620898014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290u2 |
Quadratic twists by: -11 |