Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20102p |
Isogeny class |
Conductor |
20102 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
675648 |
Modular degree for the optimal curve |
Δ |
17521613090712064 = 29 · 19 · 239 |
Discriminant |
Eigenvalues |
2- 3 -3 -2 1 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1518594,720646657] |
[a1,a2,a3,a4,a6] |
Generators |
[17067:88789:27] |
Generators of the group modulo torsion |
j |
215029457271/9728 |
j-invariant |
L |
10.624854485298 |
L(r)(E,1)/r! |
Ω |
0.36604629306783 |
Real period |
R |
1.6125547637176 |
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 |
20102t1 |
Quadratic twists by: -23 |