Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304in |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-3.963233607232E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33959809,-81984518785] |
[a1,a2,a3,a4,a6] |
Generators |
[10122310:-420178185:1331] |
Generators of the group modulo torsion |
j |
-280880296871140514/25701087819771 |
j-invariant |
L |
6.3428522819728 |
L(r)(E,1)/r! |
Ω |
0.031107930153233 |
Real period |
R |
8.495760118423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999767804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304cc5 30576d5 17472br6 |
Quadratic twists by: -4 8 -7 |