Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49010o |
Isogeny class |
Conductor |
49010 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
27019009432064000 = 212 · 53 · 137 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-110276,11658256] |
[a1,a2,a3,a4,a6] |
Generators |
[40:2684:1] |
Generators of the group modulo torsion |
j |
30726058889161/5597696000 |
j-invariant |
L |
4.5171195105993 |
L(r)(E,1)/r! |
Ω |
0.35700008791055 |
Real period |
R |
0.52720802967818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3770b1 |
Quadratic twists by: 13 |