Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480c |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-63897600 = -1 · 216 · 3 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,385] |
[a1,a2,a3,a4,a6] |
Generators |
[3:20:1] |
Generators of the group modulo torsion |
j |
-4/975 |
j-invariant |
L |
3.0379986000888 |
L(r)(E,1)/r! |
Ω |
1.563915067227 |
Real period |
R |
0.97127991914407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480ck1 1560g1 37440ce1 62400cw1 |
Quadratic twists by: -4 8 -3 5 |