Atkin-Lehner |
3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6105g |
Isogeny class |
Conductor |
6105 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
18521724060675 = 33 · 52 · 114 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7051,-95770] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:311:1] |
Generators of the group modulo torsion |
j |
38768563181932849/18521724060675 |
j-invariant |
L |
2.2749901622058 |
L(r)(E,1)/r! |
Ω |
0.54618811623058 |
Real period |
R |
0.34710113216216 |
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 |
97680bg3 18315s4 30525b3 67155o3 |
Quadratic twists by: -4 -3 5 -11 |