Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12880d |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
79662490880000 = 211 · 54 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 6 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29296,-1871904] |
[a1,a2,a3,a4,a6] |
j |
1357792998752738/38897700625 |
j-invariant |
L |
4.3866996020181 |
L(r)(E,1)/r! |
Ω |
0.36555830016817 |
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 |
6440f2 51520ci2 115920bz2 64400m2 |
Quadratic twists by: -4 8 -3 5 |