Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240bj |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-159805440 = -1 · 212 · 33 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-267,1786] |
[a1,a2,a3,a4,a6] |
Generators |
[5:24:1] |
Generators of the group modulo torsion |
j |
-19034163/1445 |
j-invariant |
L |
4.466216854242 |
L(r)(E,1)/r! |
Ω |
1.7854281379763 |
Real period |
R |
0.62537057068344 |
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 |
765b1 48960dn1 12240bf1 61200ds1 |
Quadratic twists by: -4 8 -3 5 |