Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560o |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
159090060236800 = 211 · 52 · 710 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 5 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39216,2939980] |
[a1,a2,a3,a4,a6] |
j |
11529602/275 |
j-invariant |
L |
1.149129533107 |
L(r)(E,1)/r! |
Ω |
0.57456476655352 |
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 |
43120g1 107800p1 21560q1 |
Quadratic twists by: -4 5 -7 |