Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
12408h |
Isogeny class |
Conductor |
12408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-94726444032 = -1 · 210 · 34 · 11 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 5 11- 3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,432,-14256] |
[a1,a2,a3,a4,a6] |
j |
8686989500/92506293 |
j-invariant |
L |
4.2128240549143 |
L(r)(E,1)/r! |
Ω |
0.52660300686429 |
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 |
24816a1 99264a1 37224a1 |
Quadratic twists by: -4 8 -3 |