Atkin-Lehner |
3- 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725bt |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
9339840 |
Modular degree for the optimal curve |
Δ |
-1.2739405919923E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1063619,17167365503] |
[a1,a2,a3,a4,a6] |
Generators |
[4693:351947:1] |
Generators of the group modulo torsion |
j |
5322829445601662513615/5095762367969258785107 |
j-invariant |
L |
9.404381668126 |
L(r)(E,1)/r! |
Ω |
0.081461044945847 |
Real period |
R |
2.5097036166674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109725bb1 |
Quadratic twists by: 5 |