Atkin-Lehner |
2- 3- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8742l |
Isogeny class |
Conductor |
8742 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
78678 = 2 · 33 · 31 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 2 2 -2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16,-22] |
[a1,a2,a3,a4,a6] |
j |
454756609/78678 |
j-invariant |
L |
7.2435775387714 |
L(r)(E,1)/r! |
Ω |
2.4145258462571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69936l1 26226n1 |
Quadratic twists by: -4 -3 |