Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560q |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
1352243200 = 211 · 52 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11- -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,-8800] |
[a1,a2,a3,a4,a6] |
j |
11529602/275 |
j-invariant |
L |
1.7978064944607 |
L(r)(E,1)/r! |
Ω |
0.89890324723036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43120p1 107800b1 21560o1 |
Quadratic twists by: -4 5 -7 |