Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12880l |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7966249088000000 = 213 · 56 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 6 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2669296,1679469120] |
[a1,a2,a3,a4,a6] |
j |
513516182162686336369/1944885031250 |
j-invariant |
L |
2.9162443775932 |
L(r)(E,1)/r! |
Ω |
0.36453054719915 |
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 |
1610e4 51520ca4 115920eq4 64400ca4 |
Quadratic twists by: -4 8 -3 5 |