Atkin-Lehner |
3- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263n |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.2080286828654E+19 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 11- -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11472413,14953621568] |
[a1,a2,a3,a4,a6] |
Generators |
[1924:2572:1] |
Generators of the group modulo torsion |
j |
-94260981564964864000/6819006982347 |
j-invariant |
L |
5.8716917569015 |
L(r)(E,1)/r! |
Ω |
0.21466269580281 |
Real period |
R |
2.2794256203365 |
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 |
903b2 |
Quadratic twists by: -11 |