Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20886g |
Isogeny class |
Conductor |
20886 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
417600 |
Modular degree for the optimal curve |
Δ |
-58055261837857632 = -1 · 25 · 36 · 597 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 5 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2490728,-1514077495] |
[a1,a2,a3,a4,a6] |
Generators |
[2043:42907:1] |
Generators of the group modulo torsion |
j |
-40512641613625/1376352 |
j-invariant |
L |
6.9565961007591 |
L(r)(E,1)/r! |
Ω |
0.060087909809964 |
Real period |
R |
5.7886820516476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62658f1 354c1 |
Quadratic twists by: -3 -59 |