Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085u |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
98091692015625 = 32 · 56 · 78 · 112 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12178,-202177] |
[a1,a2,a3,a4,a6] |
j |
1697509118089/833765625 |
j-invariant |
L |
2.8666282024643 |
L(r)(E,1)/r! |
Ω |
0.47777136707738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360fl2 24255bi2 40425l2 1155c2 |
Quadratic twists by: -4 -3 5 -7 |