Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530o |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
1.8614363100962E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-767565,-154424219] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:1481:1] |
Generators of the group modulo torsion |
j |
68602823713744140241/25534105762636800 |
j-invariant |
L |
3.1773245309387 |
L(r)(E,1)/r! |
Ω |
0.16636931217272 |
Real period |
R |
4.7745051197303 |
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 |
6510q1 97650dc1 |
Quadratic twists by: -3 5 |