Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
21160i |
Isogeny class |
Conductor |
21160 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
432768 |
Modular degree for the optimal curve |
Δ |
1566219705620000000 = 28 · 57 · 238 |
Discriminant |
Eigenvalues |
2- 2 5- 2 -5 2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2222505,1274618525] |
[a1,a2,a3,a4,a6] |
j |
60560505856/78125 |
j-invariant |
L |
3.7361697417254 |
L(r)(E,1)/r! |
Ω |
0.2668692672661 |
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 |
42320i1 105800m1 21160g1 |
Quadratic twists by: -4 5 -23 |