Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712di |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
107208769536 = 218 · 37 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6924,221200] |
[a1,a2,a3,a4,a6] |
Generators |
[18:320:1] |
Generators of the group modulo torsion |
j |
192100033/561 |
j-invariant |
L |
8.3031108645974 |
L(r)(E,1)/r! |
Ω |
1.0615284034098 |
Real period |
R |
1.9554613010812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712bx1 26928bn1 35904de1 |
Quadratic twists by: -4 8 -3 |