Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bl |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1.5434848724085E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5110419,4442629970] |
[a1,a2,a3,a4,a6] |
Generators |
[-910:566955:8] |
Generators of the group modulo torsion |
j |
4943172466708284817/5169099608064 |
j-invariant |
L |
6.9482407823399 |
L(r)(E,1)/r! |
Ω |
0.22007365390921 |
Real period |
R |
7.8930856157074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12978o1 34608k1 |
Quadratic twists by: -4 -3 |