Atkin-Lehner |
3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109989h |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-1162088719488791721 = -1 · 312 · 118 · 1012 |
Discriminant |
Eigenvalues |
-1 3- -3 -4 11- 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20714,51883274] |
[a1,a2,a3,a4,a6] |
Generators |
[-272:6246:1] |
Generators of the group modulo torsion |
j |
-6289657/7436529 |
j-invariant |
L |
2.5143727300122 |
L(r)(E,1)/r! |
Ω |
0.22115167501355 |
Real period |
R |
0.94745410481823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999310524 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36663m1 109989q1 |
Quadratic twists by: -3 -11 |