Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600v |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
38160000000 = 210 · 32 · 57 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2008,-34012] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:36:1] |
Generators of the group modulo torsion |
j |
55990084/2385 |
j-invariant |
L |
6.2499597495613 |
L(r)(E,1)/r! |
Ω |
0.71504238088757 |
Real period |
R |
2.1851710880727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31800s1 12720f1 |
Quadratic twists by: -4 5 |