Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680bl |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1411344000000000000 = -1 · 216 · 36 · 512 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94572,-58243536] |
[a1,a2,a3,a4,a6] |
Generators |
[558:7920:1] |
Generators of the group modulo torsion |
j |
-1957960715364/29541015625 |
j-invariant |
L |
6.7977842737313 |
L(r)(E,1)/r! |
Ω |
0.11564935738798 |
Real period |
R |
1.2245680296141 |
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 |
31680eh3 3960p4 3520f4 |
Quadratic twists by: -4 8 -3 |