Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730a |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
554696890280000 = 26 · 54 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31550,-1827500] |
[a1,a2,a3,a4,a6] |
Generators |
[-882:4835:8] |
Generators of the group modulo torsion |
j |
719564007681/114920000 |
j-invariant |
L |
3.6180839602863 |
L(r)(E,1)/r! |
Ω |
0.36208435691147 |
Real period |
R |
2.4980946368051 |
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 |
2210e1 |
Quadratic twists by: 13 |