Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48804j |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5764525027446528 = 28 · 34 · 79 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77436,7472088] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:3430:1] |
Generators of the group modulo torsion |
j |
1705021456336/191397087 |
j-invariant |
L |
7.1351646983556 |
L(r)(E,1)/r! |
Ω |
0.4131449115726 |
Real period |
R |
1.4391973410247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6972f2 |
Quadratic twists by: -7 |