Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6105l |
Isogeny class |
Conductor |
6105 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-115963711875 = -1 · 32 · 54 · 11 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-185,-16428] |
[a1,a2,a3,a4,a6] |
Generators |
[37:148:1] |
Generators of the group modulo torsion |
j |
-700463661841/115963711875 |
j-invariant |
L |
2.8139148809081 |
L(r)(E,1)/r! |
Ω |
0.46772640885017 |
Real period |
R |
0.75201945722543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680bs3 18315k4 30525j3 67155w3 |
Quadratic twists by: -4 -3 5 -11 |