Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120q |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
301591848960 = 211 · 38 · 5 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2523,-41002] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:74:1] |
Generators of the group modulo torsion |
j |
1189646642/202005 |
j-invariant |
L |
5.0810322161945 |
L(r)(E,1)/r! |
Ω |
0.68142186359937 |
Real period |
R |
3.7282574038318 |
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 |
48240n2 8040c2 120600s2 |
Quadratic twists by: -4 -3 5 |