Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200bk |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-121651200 = -1 · 214 · 33 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ 0 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-528] |
[a1,a2,a3,a4,a6] |
j |
-625/1188 |
j-invariant |
L |
1.6848485756169 |
L(r)(E,1)/r! |
Ω |
0.84242428780847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1650i1 52800hc1 39600ea1 13200cr1 |
Quadratic twists by: -4 8 -3 5 |