Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120bb |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
220332032000 = 220 · 53 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170721,-27207521] |
[a1,a2,a3,a4,a6] |
j |
2099167877572921/840500 |
j-invariant |
L |
0.93948014892565 |
L(r)(E,1)/r! |
Ω |
0.23487003723141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120c2 3280j2 118080gb2 65600bh2 |
Quadratic twists by: -4 8 -3 5 |