Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712fd |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
143284520484864 = 217 · 312 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29676,-1881520] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:99:1] |
Generators of the group modulo torsion |
j |
30248395634/1499553 |
j-invariant |
L |
6.6712253530084 |
L(r)(E,1)/r! |
Ω |
0.36486531250813 |
Real period |
R |
2.2855096012475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999307661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712bq2 26928n2 35904bo2 |
Quadratic twists by: -4 8 -3 |