Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21660o |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-433200 = -1 · 24 · 3 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 2 -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,-50] |
[a1,a2,a3,a4,a6] |
j |
-311296/75 |
j-invariant |
L |
2.1012731284257 |
L(r)(E,1)/r! |
Ω |
1.0506365642129 |
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 |
86640ea1 64980t1 108300bw1 21660z1 |
Quadratic twists by: -4 -3 5 -19 |