Atkin-Lehner |
2- 3- 13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30498p |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
deg |
1900544 |
Modular degree for the optimal curve |
Δ |
4.2827349443847E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 2 -6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1513220,-643709424] |
[a1,a2,a3,a4,a6] |
Generators |
[-824:7036:1] |
Generators of the group modulo torsion |
j |
383203924404342459900481/42827349443846602752 |
j-invariant |
L |
7.6683418848732 |
L(r)(E,1)/r! |
Ω |
0.13710946055547 |
Real period |
R |
0.21847114244657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91494h1 |
Quadratic twists by: -3 |