Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024p |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
2.2445067005719E+25 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70668092,18074188800] |
[a1,a2,a3,a4,a6] |
Generators |
[-3632:476280:1] |
Generators of the group modulo torsion |
j |
152459275009572062112030928/87676042991090726373201 |
j-invariant |
L |
7.6795522487264 |
L(r)(E,1)/r! |
Ω |
0.057819543806558 |
Real period |
R |
2.2136552634692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48048f2 72072br2 |
Quadratic twists by: -4 -3 |