Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64032bg |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-902467008 = -1 · 26 · 36 · 23 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 4 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-514,-4888] |
[a1,a2,a3,a4,a6] |
j |
-235113600448/14101047 |
j-invariant |
L |
2.9971120509805 |
L(r)(E,1)/r! |
Ω |
0.49951867514728 |
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 |
64032a1 128064t1 |
Quadratic twists by: -4 8 |