Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13860h |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24793655040 = 28 · 33 · 5 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-927,-7786] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:22:1] |
Generators of the group modulo torsion |
j |
12745567728/3587045 |
j-invariant |
L |
5.1731271017013 |
L(r)(E,1)/r! |
Ω |
0.88367616528389 |
Real period |
R |
1.463524565031 |
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 |
55440cf2 13860b2 69300f2 97020k2 |
Quadratic twists by: -4 -3 5 -7 |