Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12264d |
Isogeny class |
Conductor |
12264 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-834251830272 = -1 · 210 · 313 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1752,34272] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:108:1] |
Generators of the group modulo torsion |
j |
580467825500/814699053 |
j-invariant |
L |
5.7601246828684 |
L(r)(E,1)/r! |
Ω |
0.60285951896267 |
Real period |
R |
0.36748736656693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24528e1 98112g1 36792k1 85848c1 |
Quadratic twists by: -4 8 -3 -7 |