Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483y |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-41855235245986659 = -1 · 3 · 76 · 179 |
Discriminant |
Eigenvalues |
2 3- 3 7- -5 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,80246,4536109] |
[a1,a2,a3,a4,a6] |
Generators |
[158215341384592:-5111401535613629:1248547704832] |
Generators of the group modulo torsion |
j |
4096/3 |
j-invariant |
L |
16.885043241337 |
L(r)(E,1)/r! |
Ω |
0.23047736504496 |
Real period |
R |
18.315294473758 |
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 |
127449bs1 867c1 42483m1 |
Quadratic twists by: -3 -7 17 |