Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6930bi |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
748892615347800 = 23 · 310 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-109652,-13886049] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:339:1] |
Generators of the group modulo torsion |
j |
200005594092187129/1027287538200 |
j-invariant |
L |
6.3797181674195 |
L(r)(E,1)/r! |
Ω |
0.262439983567 |
Real period |
R |
0.50644262870349 |
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 |
55440ej4 2310c3 34650m4 48510da4 |
Quadratic twists by: -4 -3 5 -7 |