Atkin-Lehner |
2+ 3- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20862j |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-92723912784 = -1 · 24 · 36 · 194 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 1 1 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1080,20304] |
[a1,a2,a3,a4,a6] |
Generators |
[15:78:1] |
Generators of the group modulo torsion |
j |
-191202526081/127193296 |
j-invariant |
L |
4.0252483271673 |
L(r)(E,1)/r! |
Ω |
0.98826713600343 |
Real period |
R |
0.25456479456086 |
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 |
2318d1 |
Quadratic twists by: -3 |