Atkin-Lehner |
3- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263n |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-33594111243 = -1 · 32 · 72 · 116 · 43 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 11- -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-929281613,10903270634141] |
[a1,a2,a3,a4,a6] |
Generators |
[2620187765:-93706:148877] |
Generators of the group modulo torsion |
j |
-50096759460260217094144000/18963 |
j-invariant |
L |
5.8716917569015 |
L(r)(E,1)/r! |
Ω |
0.21466269580281 |
Real period |
R |
6.8382768311724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
903b3 |
Quadratic twists by: -11 |