Atkin-Lehner |
2- 3- 5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
42330bj |
Isogeny class |
Conductor |
42330 |
Conductor |
∏ cp |
980 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
345536986060800000 = 214 · 314 · 55 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-200595,-19914975] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:-3495:1] |
Generators of the group modulo torsion |
j |
892656061622849922481/345536986060800000 |
j-invariant |
L |
11.583668482394 |
L(r)(E,1)/r! |
Ω |
0.23312689247288 |
Real period |
R |
0.050702301028471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990p1 |
Quadratic twists by: -3 |