Atkin-Lehner |
2+ 3- 5- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42090l |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
242438400 = 28 · 33 · 52 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-763,8006] |
[a1,a2,a3,a4,a6] |
Generators |
[10:32:1] |
Generators of the group modulo torsion |
j |
49031914789801/242438400 |
j-invariant |
L |
6.2854024041896 |
L(r)(E,1)/r! |
Ω |
1.7665572044916 |
Real period |
R |
1.1859984660577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126270bf1 |
Quadratic twists by: -3 |