Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12880m |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
101967988326400 = 216 · 52 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36763,-2669238] |
[a1,a2,a3,a4,a6] |
Generators |
[239:1482:1] |
Generators of the group modulo torsion |
j |
1341518286067569/24894528400 |
j-invariant |
L |
3.5641128960171 |
L(r)(E,1)/r! |
Ω |
0.3451724719773 |
Real period |
R |
5.162800028056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1610c2 51520cb2 115920dz2 64400bn2 |
Quadratic twists by: -4 8 -3 5 |