Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450be |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-10296000000 = -1 · 29 · 32 · 56 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1151,15698] |
[a1,a2,a3,a4,a6] |
j |
-10779215329/658944 |
j-invariant |
L |
2.5341433508713 |
L(r)(E,1)/r! |
Ω |
1.2670716754357 |
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 |
64350dx1 858g1 |
Quadratic twists by: -3 5 |