Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312bc |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-37850112 = -1 · 210 · 33 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,728] |
[a1,a2,a3,a4,a6] |
j |
-11943936/1369 |
j-invariant |
L |
3.9898623186067 |
L(r)(E,1)/r! |
Ω |
1.9949311593034 |
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 |
21312a1 5328m1 21312be1 |
Quadratic twists by: -4 8 -3 |