Atkin-Lehner |
23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42527a |
Isogeny class |
Conductor |
42527 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
-6251828055461 = -1 · 23 · 437 |
Discriminant |
Eigenvalues |
-1 -3 -2 -2 3 -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-445956,-114515244] |
[a1,a2,a3,a4,a6] |
j |
-1551629757033/989 |
j-invariant |
L |
0.18474666677429 |
L(r)(E,1)/r! |
Ω |
0.092373333337367 |
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 |
989a1 |
Quadratic twists by: -43 |