Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416q |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1741006358784 = 28 · 34 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12244,513536] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:918:1] |
Generators of the group modulo torsion |
j |
793029200717392/6800806089 |
j-invariant |
L |
5.8876544933201 |
L(r)(E,1)/r! |
Ω |
0.8426845832958 |
Real period |
R |
1.7466958011422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
62832g2 94248l2 |
Quadratic twists by: -4 -3 |