Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074y |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
1.199527497445E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1689789,-661874733] |
[a1,a2,a3,a4,a6] |
Generators |
[-985:7428:1] |
Generators of the group modulo torsion |
j |
22106889268753393/4969545596928 |
j-invariant |
L |
4.3824409574922 |
L(r)(E,1)/r! |
Ω |
0.13454705849057 |
Real period |
R |
1.1632788575072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57222i1 1122k1 |
Quadratic twists by: -3 17 |