Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712di |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3852761550815232 = -1 · 218 · 310 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39156,156688] |
[a1,a2,a3,a4,a6] |
Generators |
[4896:342860:1] |
Generators of the group modulo torsion |
j |
34741712447/20160657 |
j-invariant |
L |
8.3031108645974 |
L(r)(E,1)/r! |
Ω |
0.26538210085246 |
Real period |
R |
7.8218452043247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712bx3 26928bn3 35904de3 |
Quadratic twists by: -4 8 -3 |