Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616bu |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
102813783293952 = 219 · 314 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252876,-48942704] |
[a1,a2,a3,a4,a6] |
Generators |
[404545:22717827:125] |
Generators of the group modulo torsion |
j |
9357915116017/538002 |
j-invariant |
L |
3.445201163951 |
L(r)(E,1)/r! |
Ω |
0.21289925883324 |
Real period |
R |
8.0911534939856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23616k4 5904m3 7872bi3 |
Quadratic twists by: -4 8 -3 |