Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560f |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-30356480 = -1 · 210 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-296,-2080] |
[a1,a2,a3,a4,a6] |
Generators |
[20:20:1] |
Generators of the group modulo torsion |
j |
-57354724/605 |
j-invariant |
L |
5.4534653822916 |
L(r)(E,1)/r! |
Ω |
0.57497820550573 |
Real period |
R |
2.3711617805996 |
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 |
43120h1 107800ca1 21560h1 |
Quadratic twists by: -4 5 -7 |