Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350cu |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
100261233907200 = 29 · 313 · 52 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20933,1059777] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:1399:1] |
Generators of the group modulo torsion |
j |
8259098703305/816293376 |
j-invariant |
L |
11.951163221541 |
L(r)(E,1)/r! |
Ω |
0.5812635085666 |
Real period |
R |
0.087866081988417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350t1 43350by1 |
Quadratic twists by: 5 17 |