Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122o |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-241152896222784 = -1 · 26 · 36 · 73 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2592,744768] |
[a1,a2,a3,a4,a6] |
Generators |
[96:1320:1] |
Generators of the group modulo torsion |
j |
2641234272767/330799583296 |
j-invariant |
L |
5.6668096606881 |
L(r)(E,1)/r! |
Ω |
0.42736019783087 |
Real period |
R |
1.105002620243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3458f2 |
Quadratic twists by: -3 |