Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350cl |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
132192 |
Modular degree for the optimal curve |
Δ |
18834545090700 = 22 · 33 · 52 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6653,-8089] |
[a1,a2,a3,a4,a6] |
Generators |
[-3805:52978:125] |
Generators of the group modulo torsion |
j |
186745/108 |
j-invariant |
L |
8.5856914920356 |
L(r)(E,1)/r! |
Ω |
0.57873011549126 |
Real period |
R |
7.4176989085374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350bv1 43350de1 |
Quadratic twists by: 5 17 |