Atkin-Lehner |
2- 3+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20826w |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-481142578176 = -1 · 210 · 33 · 133 · 892 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2711,64431] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:318:1] |
Generators of the group modulo torsion |
j |
-81582743753811/17820095488 |
j-invariant |
L |
6.9703798856801 |
L(r)(E,1)/r! |
Ω |
0.89234635983195 |
Real period |
R |
0.26037647111946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20826h1 |
Quadratic twists by: -3 |