Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1344i |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-150528 = -1 · 210 · 3 · 72 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -2 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-21] |
[a1,a2,a3,a4,a6] |
j |
-16384/147 |
j-invariant |
L |
1.3752689143149 |
L(r)(E,1)/r! |
Ω |
1.3752689143149 |
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 |
1344o1 84b1 4032j1 33600w1 |
Quadratic twists by: -4 8 -3 5 |