Atkin-Lehner |
2+ 3- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370bk |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
2.771872152318E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -5 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4957944,-4241990714] |
[a1,a2,a3,a4,a6] |
Generators |
[-1270:3207:1] |
Generators of the group modulo torsion |
j |
333999700505432767/686895759360 |
j-invariant |
L |
4.9800079808334 |
L(r)(E,1)/r! |
Ω |
0.10118772233945 |
Real period |
R |
2.4607767791695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370q1 |
Quadratic twists by: -7 |