Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880bx |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3.8913223662997E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3631280,1382245312] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:77626:1] |
Generators of the group modulo torsion |
j |
1292834275760157948719/950029874584877520 |
j-invariant |
L |
5.1136624582465 |
L(r)(E,1)/r! |
Ω |
0.088878287688325 |
Real period |
R |
7.1919455683765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000248 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8610s4 |
Quadratic twists by: -4 |