Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416p |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
489597953171712 = 28 · 3 · 74 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19860,158304] |
[a1,a2,a3,a4,a6] |
Generators |
[314:-4998:1] |
Generators of the group modulo torsion |
j |
3384101238719056/1912492004577 |
j-invariant |
L |
4.0288065460554 |
L(r)(E,1)/r! |
Ω |
0.45147322940451 |
Real period |
R |
0.74364072324017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832i1 94248g1 |
Quadratic twists by: -4 -3 |