Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720bd |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1078656000000 = -1 · 213 · 3 · 56 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1696,56180] |
[a1,a2,a3,a4,a6] |
j |
-131794519969/263343750 |
j-invariant |
L |
3.1082376564825 |
L(r)(E,1)/r! |
Ω |
0.77705941412063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590m2 50880cr2 38160by2 63600bq2 |
Quadratic twists by: -4 8 -3 5 |