Atkin-Lehner |
2- 3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376o |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
720841752576 = 214 · 34 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2552,29040] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:210:1] |
Generators of the group modulo torsion |
j |
448927222393/175986756 |
j-invariant |
L |
5.4955049920643 |
L(r)(E,1)/r! |
Ω |
0.82110514168641 |
Real period |
R |
3.3464076115618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4422f2 106128ca2 |
Quadratic twists by: -4 -3 |