Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320i |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
865536 |
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] |
Generators |
[-882:529:1] |
Generators of the group modulo torsion |
j |
60560505856/78125 |
j-invariant |
L |
4.3521838071552 |
L(r)(E,1)/r! |
Ω |
0.12365807868354 |
Real period |
R |
1.6759669094491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21160i1 42320e1 |
Quadratic twists by: -4 -23 |