Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33712o |
Isogeny class |
Conductor |
33712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
15451626620103184 = 24 · 710 · 434 |
Discriminant |
Eigenvalues |
2- -3 1 7- 3 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88837,-8252237] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:727:1] |
Generators of the group modulo torsion |
j |
17155563264/3418801 |
j-invariant |
L |
3.1243877961603 |
L(r)(E,1)/r! |
Ω |
0.28038872202853 |
Real period |
R |
5.5715290072225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8428d1 33712i1 |
Quadratic twists by: -4 -7 |