Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960cb |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
7312234463851520 = 210 · 5 · 74 · 296 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48525,20995] |
[a1,a2,a3,a4,a6] |
Generators |
[243:1624:1] |
Generators of the group modulo torsion |
j |
12340402854651904/7140853968605 |
j-invariant |
L |
3.629149269451 |
L(r)(E,1)/r! |
Ω |
0.35375272900069 |
Real period |
R |
0.85491667192816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960p1 16240d1 |
Quadratic twists by: -4 8 |