Atkin-Lehner |
2- 3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826r |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6739200 |
Modular degree for the optimal curve |
Δ |
-2.1732256741455E+24 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -1 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-363206459,2665306091179] |
[a1,a2,a3,a4,a6] |
j |
-269211190034675994432164811/110411302857566277632 |
j-invariant |
L |
1.9427140314919 |
L(r)(E,1)/r! |
Ω |
0.08094641797883 |
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 |
20826c1 |
Quadratic twists by: -3 |