Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200a |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
132000000 = 28 · 3 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,2112] |
[a1,a2,a3,a4,a6] |
Generators |
[16:32:1] |
Generators of the group modulo torsion |
j |
810448/33 |
j-invariant |
L |
3.6863609963187 |
L(r)(E,1)/r! |
Ω |
1.8319620613387 |
Real period |
R |
2.0122474554003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6600bb1 52800gr1 39600w1 528d1 |
Quadratic twists by: -4 8 -3 5 |