Atkin-Lehner |
3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675q |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
23721984 |
Modular degree for the optimal curve |
Δ |
1.0945097543299E+28 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2040626151,35121769096573] |
[a1,a2,a3,a4,a6] |
Generators |
[-42483866462128:5358271497670851:929714176] |
Generators of the group modulo torsion |
j |
60144238361305303781253215329/700486242771148681640625 |
j-invariant |
L |
8.4059204566579 |
L(r)(E,1)/r! |
Ω |
0.040611351527836 |
Real period |
R |
11.499139116445 |
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 |
74025w1 4935a1 |
Quadratic twists by: -3 5 |