Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680bk |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-374134464000000 = -1 · 212 · 312 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39972,3213664] |
[a1,a2,a3,a4,a6] |
Generators |
[68:900:1] |
Generators of the group modulo torsion |
j |
-2365396076224/125296875 |
j-invariant |
L |
6.6571801652542 |
L(r)(E,1)/r! |
Ω |
0.52950917730403 |
Real period |
R |
1.0476966926159 |
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 |
31680bz2 15840ba1 10560v2 |
Quadratic twists by: -4 8 -3 |