Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gx |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
2.0828460294513E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7607201,8070277215] |
[a1,a2,a3,a4,a6] |
Generators |
[-833:117600:1] |
Generators of the group modulo torsion |
j |
742879737792994384804/317817082130625 |
j-invariant |
L |
8.3879219807849 |
L(r)(E,1)/r! |
Ω |
0.21217024396946 |
Real period |
R |
0.82362338532239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998215 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920b4 18480o3 |
Quadratic twists by: -4 8 |