Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416q |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
552210896692224 = 210 · 32 · 72 · 114 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21064,-333184] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:630:1] |
Generators of the group modulo torsion |
j |
1009408393000228/539268453801 |
j-invariant |
L |
5.8876544933201 |
L(r)(E,1)/r! |
Ω |
0.4213422916479 |
Real period |
R |
3.4933916022844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62832g3 94248l3 |
Quadratic twists by: -4 -3 |