Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712r |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1406287872 = 214 · 33 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-636,5904] |
[a1,a2,a3,a4,a6] |
Generators |
[6:48:1] |
Generators of the group modulo torsion |
j |
64314864/3179 |
j-invariant |
L |
6.3051625481506 |
L(r)(E,1)/r! |
Ω |
1.4990299112886 |
Real period |
R |
1.0515404779444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712cx2 13464l2 107712b2 |
Quadratic twists by: -4 8 -3 |