Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120k |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17196646400 = 224 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22391468,-40782323408] |
[a1,a2,a3,a4,a6] |
j |
4736215902196909260801/65600 |
j-invariant |
L |
2.2208994226871 |
L(r)(E,1)/r! |
Ω |
0.069403106958973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120bj3 410b3 118080cf4 65600s4 |
Quadratic twists by: -4 8 -3 5 |