Atkin-Lehner |
3+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112677b |
Isogeny class |
Conductor |
112677 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1130496 |
Modular degree for the optimal curve |
Δ |
1150936550674857 = 32 · 239 · 71 |
Discriminant |
Eigenvalues |
1 3+ -4 4 -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-157917,24033240] |
[a1,a2,a3,a4,a6] |
j |
241804367/639 |
j-invariant |
L |
0.48956035690555 |
L(r)(E,1)/r! |
Ω |
0.48955988498903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112677a1 |
Quadratic twists by: -23 |