Atkin-Lehner |
2+ 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826d |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84864 |
Modular degree for the optimal curve |
Δ |
-2984932933632 = -1 · 217 · 39 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -3 6 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2850,-100972] |
[a1,a2,a3,a4,a6] |
j |
-130092635763/151650304 |
j-invariant |
L |
2.5011157838252 |
L(r)(E,1)/r! |
Ω |
0.31263947297814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20826s1 |
Quadratic twists by: -3 |