Atkin-Lehner |
2- 3+ 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104880br |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
652437504000 = 214 · 36 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18496,-961280] |
[a1,a2,a3,a4,a6] |
Generators |
[-2085:640:27] |
Generators of the group modulo torsion |
j |
170852246895169/159286500 |
j-invariant |
L |
4.5625022381032 |
L(r)(E,1)/r! |
Ω |
0.40940434910639 |
Real period |
R |
5.5721223404833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110bg1 |
Quadratic twists by: -4 |