Atkin-Lehner |
3- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263n |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1231200 |
Modular degree for the optimal curve |
Δ |
-1446116333920384203 = -1 · 318 · 72 · 116 · 43 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 11- -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5243,57855947] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-7655:1] |
Generators of the group modulo torsion |
j |
-8998912000/816294970323 |
j-invariant |
L |
5.8716917569015 |
L(r)(E,1)/r! |
Ω |
0.21466269580281 |
Real period |
R |
0.75980854011217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999563675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
903b1 |
Quadratic twists by: -11 |