Atkin-Lehner |
2- 3+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
13272d |
Isogeny class |
Conductor |
13272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3648 |
Modular degree for the optimal curve |
Δ |
-14678832 = -1 · 24 · 3 · 72 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-183,-912] |
[a1,a2,a3,a4,a6] |
j |
-42592000000/917427 |
j-invariant |
L |
1.2957923642082 |
L(r)(E,1)/r! |
Ω |
0.64789618210411 |
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 |
26544f1 106176n1 39816b1 92904r1 |
Quadratic twists by: -4 8 -3 -7 |