Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712dt |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-34763301192204288 = -1 · 219 · 38 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108300,16390672] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:4896:1] [98:2592:1] |
Generators of the group modulo torsion |
j |
-735091890625/181908738 |
j-invariant |
L |
10.789460272603 |
L(r)(E,1)/r! |
Ω |
0.34998591228228 |
Real period |
R |
0.96338344384893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712cd2 26928bq2 35904ct2 |
Quadratic twists by: -4 8 -3 |