Atkin-Lehner |
2+ 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880o |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
202569154560 = 220 · 36 · 5 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1505,-5535] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:128:1] [-8:77:1] |
Generators of the group modulo torsion |
j |
1439069689/772740 |
j-invariant |
L |
8.3486721882926 |
L(r)(E,1)/r! |
Ω |
0.81566191995111 |
Real period |
R |
5.1177283038979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880dy1 1590h1 |
Quadratic twists by: -4 8 |