Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29640t |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
130238160 = 24 · 3 · 5 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151,410] |
[a1,a2,a3,a4,a6] |
Generators |
[19:69:1] |
Generators of the group modulo torsion |
j |
23955625984/8139885 |
j-invariant |
L |
4.7113253972239 |
L(r)(E,1)/r! |
Ω |
1.70287638138 |
Real period |
R |
2.7666866771655 |
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 |
59280c1 88920n1 |
Quadratic twists by: -4 -3 |