Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712da |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1047262330771734528 = 218 · 33 · 116 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85530828,304461317520] |
[a1,a2,a3,a4,a6] |
Generators |
[845370:23499168:125] |
Generators of the group modulo torsion |
j |
9776604686860471347243/147962546281 |
j-invariant |
L |
11.411744166004 |
L(r)(E,1)/r! |
Ω |
0.19684909489146 |
Real period |
R |
2.4155017793829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712d2 26928w2 107712cy2 |
Quadratic twists by: -4 8 -3 |