Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21780p |
Isogeny class |
Conductor |
21780 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2475279168104160000 = 28 · 38 · 54 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-475167,100817926] |
[a1,a2,a3,a4,a6] |
j |
26962544/5625 |
j-invariant |
L |
2.9226837625322 |
L(r)(E,1)/r! |
Ω |
0.24355698021102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120fi2 7260k2 108900bh2 21780q2 |
Quadratic twists by: -4 -3 5 -11 |