Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480w |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-106774200000 = -1 · 26 · 35 · 55 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1169,-2881] |
[a1,a2,a3,a4,a6] |
j |
2758136205824/1668346875 |
j-invariant |
L |
3.0737538983101 |
L(r)(E,1)/r! |
Ω |
0.61475077966202 |
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 |
12480d1 6240i1 37440cg1 62400be1 |
Quadratic twists by: -4 8 -3 5 |