Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720u |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12615782400 = -1 · 212 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -6 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,9344] |
[a1,a2,a3,a4,a6] |
Generators |
[13:45:1] |
Generators of the group modulo torsion |
j |
-14526784/4225 |
j-invariant |
L |
6.1381450497594 |
L(r)(E,1)/r! |
Ω |
1.1984748936049 |
Real period |
R |
1.2804075167767 |
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 |
18720v2 37440eq1 2080c2 93600eq2 |
Quadratic twists by: -4 8 -3 5 |