Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600r |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-8529920000000 = -1 · 217 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -2 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4925,45250] |
[a1,a2,a3,a4,a6] |
Generators |
[65:800:1] [1:224:1] |
Generators of the group modulo torsion |
j |
206425071/133280 |
j-invariant |
L |
5.8696279433393 |
L(r)(E,1)/r! |
Ω |
0.45837868706798 |
Real period |
R |
0.80032461545122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950d1 9520j1 |
Quadratic twists by: -4 5 |