Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gb |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.6843786469341E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17941665,1667779137] |
[a1,a2,a3,a4,a6] |
Generators |
[51375649:7726743552:2197] |
Generators of the group modulo torsion |
j |
2436531580079063806249/1405478914998681600 |
j-invariant |
L |
5.8216159891404 |
L(r)(E,1)/r! |
Ω |
0.081198772689483 |
Real period |
R |
8.9619827314447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997925 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920df2 18480cr2 |
Quadratic twists by: -4 8 |