Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080cb |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
9764375040000 = 212 · 34 · 54 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8720,-277932] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:168:1] |
Generators of the group modulo torsion |
j |
17904534011281/2383880625 |
j-invariant |
L |
8.7348243035574 |
L(r)(E,1)/r! |
Ω |
0.49839288905171 |
Real period |
R |
1.0953738124334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3255c2 |
Quadratic twists by: -4 |