Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480cq |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-20596875000000 = -1 · 26 · 3 · 511 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23491,1395095] |
[a1,a2,a3,a4,a6] |
j |
-22400965661211136/321826171875 |
j-invariant |
L |
2.0533062691513 |
L(r)(E,1)/r! |
Ω |
0.68443542305044 |
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 |
12480bs1 6240x1 37440fp1 62400ea1 |
Quadratic twists by: -4 8 -3 5 |