Atkin-Lehner |
2- 5- 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
21730f |
Isogeny class |
Conductor |
21730 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
-14254880000 = -1 · 28 · 54 · 412 · 53 |
Discriminant |
Eigenvalues |
2- 1 5- -4 2 -1 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-565,-7775] |
[a1,a2,a3,a4,a6] |
Generators |
[90:775:1] |
Generators of the group modulo torsion |
j |
-19948814692561/14254880000 |
j-invariant |
L |
8.8227430447395 |
L(r)(E,1)/r! |
Ω |
0.47469559789103 |
Real period |
R |
0.29040791759291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108650a1 |
Quadratic twists by: 5 |