Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350bt |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
311600929809375000 = 23 · 35 · 58 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 1 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-310826,-61079452] |
[a1,a2,a3,a4,a6] |
Generators |
[-384:1492:1] |
Generators of the group modulo torsion |
j |
352224985/33048 |
j-invariant |
L |
3.7221522441231 |
L(r)(E,1)/r! |
Ω |
0.20341126999 |
Real period |
R |
1.8298652991575 |
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 |
43350ci1 2550g1 |
Quadratic twists by: 5 17 |