Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350i |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
24043281621093750 = 2 · 3 · 510 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-94075,-8266625] |
[a1,a2,a3,a4,a6] |
Generators |
[-4767:48190:27] |
Generators of the group modulo torsion |
j |
390625/102 |
j-invariant |
L |
4.761044216378 |
L(r)(E,1)/r! |
Ω |
0.27788311106902 |
Real period |
R |
4.2833155621271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350dp1 2550i1 |
Quadratic twists by: 5 17 |