Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650df |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
357899062500000 = 25 · 32 · 510 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2035838,-1118223708] |
[a1,a2,a3,a4,a6] |
Generators |
[-824:430:1] |
Generators of the group modulo torsion |
j |
59721863255792719129/22905540000 |
j-invariant |
L |
12.120113680129 |
L(r)(E,1)/r! |
Ω |
0.12639030429599 |
Real period |
R |
2.3973582759421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130b3 |
Quadratic twists by: 5 |