Atkin-Lehner |
2+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50470b |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
6650274433600 = 26 · 52 · 79 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19315,1030581] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1301:1] |
Generators of the group modulo torsion |
j |
19748682927/164800 |
j-invariant |
L |
4.6921714990174 |
L(r)(E,1)/r! |
Ω |
0.75368479013918 |
Real period |
R |
3.1128208771403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50470d1 |
Quadratic twists by: -7 |