Atkin-Lehner |
2+ 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31416k |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
83629392 = 24 · 3 · 7 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159,-690] |
[a1,a2,a3,a4,a6] |
j |
27959130112/5226837 |
j-invariant |
L |
2.7222724474559 |
L(r)(E,1)/r! |
Ω |
1.3611362237274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832b1 94248bb1 |
Quadratic twists by: -4 -3 |