Atkin-Lehner |
2- 3- 5- 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42090x |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
7576200 = 23 · 33 · 52 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -6 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-185,-975] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:7:1] |
Generators of the group modulo torsion |
j |
700463661841/7576200 |
j-invariant |
L |
11.542605682904 |
L(r)(E,1)/r! |
Ω |
1.2953233233391 |
Real period |
R |
0.49505467840978 |
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 |
126270g1 |
Quadratic twists by: -3 |