Atkin-Lehner |
2+ 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826o |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-20242872 = -1 · 23 · 37 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 0 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,63,85] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] [5:20:1] |
Generators of the group modulo torsion |
j |
37595375/27768 |
j-invariant |
L |
5.4055798090822 |
L(r)(E,1)/r! |
Ω |
1.3785271350479 |
Real period |
R |
0.98031799150885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942k1 |
Quadratic twists by: -3 |