Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
24120u |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-150795924480 = -1 · 210 · 38 · 5 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,18502] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:108:1] [3:140:1] |
Generators of the group modulo torsion |
j |
6740636/202005 |
j-invariant |
L |
6.8389831389592 |
L(r)(E,1)/r! |
Ω |
0.77423064023353 |
Real period |
R |
2.2083158375446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48240j2 8040g2 120600n2 |
Quadratic twists by: -4 -3 5 |