Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1872j |
Isogeny class |
Conductor |
1872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-16769286144 = -1 · 216 · 39 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,7290] |
[a1,a2,a3,a4,a6] |
j |
-132651/208 |
j-invariant |
L |
2.2156960427532 |
L(r)(E,1)/r! |
Ω |
1.1078480213766 |
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 |
234b1 7488bi1 1872k1 46800cm1 |
Quadratic twists by: -4 8 -3 5 |