Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560s |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-517655600 = -1 · 24 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,98,1029] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:15:1] |
Generators of the group modulo torsion |
j |
55296/275 |
j-invariant |
L |
5.7019446524069 |
L(r)(E,1)/r! |
Ω |
1.1860803137164 |
Real period |
R |
2.4036924761616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43120r1 107800m1 440b1 |
Quadratic twists by: -4 5 -7 |