Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560t |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
404044748800 = 211 · 52 · 72 · 115 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66880,-6634900] |
[a1,a2,a3,a4,a6] |
Generators |
[-1190:55:8] |
Generators of the group modulo torsion |
j |
329680277223458/4026275 |
j-invariant |
L |
4.746277052425 |
L(r)(E,1)/r! |
Ω |
0.29687612018626 |
Real period |
R |
1.5987399220413 |
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 |
43120s1 107800o1 21560j1 |
Quadratic twists by: -4 5 -7 |