Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360bq |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4660355982240000 = 28 · 38 · 54 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77727,-7666846] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:810:1] |
Generators of the group modulo torsion |
j |
278273554630864/24971900625 |
j-invariant |
L |
7.0399104088519 |
L(r)(E,1)/r! |
Ω |
0.28756791335529 |
Real period |
R |
1.5300538749381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009457 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36120b2 |
Quadratic twists by: -3 |