Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480br |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-3194880 = -1 · 214 · 3 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 1 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1381,20221] |
[a1,a2,a3,a4,a6] |
j |
-17790954496/195 |
j-invariant |
L |
2.284455537808 |
L(r)(E,1)/r! |
Ω |
2.284455537808 |
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 |
12480y1 3120l1 37440fm1 62400hq1 |
Quadratic twists by: -4 8 -3 5 |