Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712br |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-30072059854848 = -1 · 217 · 38 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5196,300656] |
[a1,a2,a3,a4,a6] |
Generators |
[40:396:1] |
Generators of the group modulo torsion |
j |
-162365474/314721 |
j-invariant |
L |
7.4338600230634 |
L(r)(E,1)/r! |
Ω |
0.58942116350283 |
Real period |
R |
1.5765170340505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999826827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712fg2 13464k2 35904p2 |
Quadratic twists by: -4 8 -3 |