Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320u |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-6562998743040 = -1 · 212 · 314 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5385,197577] |
[a1,a2,a3,a4,a6] |
Generators |
[13:360:1] |
Generators of the group modulo torsion |
j |
-4216979924416/1602294615 |
j-invariant |
L |
4.6973607057064 |
L(r)(E,1)/r! |
Ω |
0.70576830048453 |
Real period |
R |
3.3278348590366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320bn1 32160v1 |
Quadratic twists by: -4 8 |