Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640cb |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9.5331524547571E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13722303,-12733022302] |
[a1,a2,a3,a4,a6] |
j |
13015144447800784/4341909875625 |
j-invariant |
L |
0.64436151674271 |
L(r)(E,1)/r! |
Ω |
0.080545189592839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35280be2 5880h2 88200bz2 2520q2 |
Quadratic twists by: -4 -3 5 -7 |