Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848l |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-89731805184 = -1 · 212 · 310 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -3 0 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,744,12112] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:81:1] |
Generators of the group modulo torsion |
j |
15252992/30051 |
j-invariant |
L |
8.269388840673 |
L(r)(E,1)/r! |
Ω |
0.74099657003092 |
Real period |
R |
1.3949775822997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106848t1 35616v1 |
Quadratic twists by: -4 -3 |