Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33635d |
Isogeny class |
Conductor |
33635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
570218359375 = 58 · 72 · 313 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 4 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7698,259322] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:662:1] |
Generators of the group modulo torsion |
j |
1693243664559/19140625 |
j-invariant |
L |
3.5040658900389 |
L(r)(E,1)/r! |
Ω |
0.9239319967514 |
Real period |
R |
1.8962791105618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33635e2 |
Quadratic twists by: -31 |