Atkin-Lehner |
11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20339c |
Isogeny class |
Conductor |
20339 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
376992 |
Modular degree for the optimal curve |
Δ |
-15556994569486931 = -1 · 113 · 438 |
Discriminant |
Eigenvalues |
2 -1 1 0 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1860710,-976334541] |
[a1,a2,a3,a4,a6] |
j |
-112706583998464/2461019 |
j-invariant |
L |
3.2316126687406 |
L(r)(E,1)/r! |
Ω |
0.064632253374811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
473a1 |
Quadratic twists by: -43 |