Atkin-Lehner |
3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
1869b |
Isogeny class |
Conductor |
1869 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1224 |
Modular degree for the optimal curve |
Δ |
-16223299407 = -1 · 312 · 73 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,393,5508] |
[a1,a2,a3,a4,a6] |
j |
6711696261647/16223299407 |
j-invariant |
L |
1.2954267377643 |
L(r)(E,1)/r! |
Ω |
0.86361782517618 |
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 |
29904d1 119616o1 5607e1 46725o1 |
Quadratic twists by: -4 8 -3 5 |