Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350co |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
4594742670597120000 = 213 · 37 · 54 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 5 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-560088,123837081] |
[a1,a2,a3,a4,a6] |
Generators |
[69:9213:1] |
Generators of the group modulo torsion |
j |
1288009359025/304570368 |
j-invariant |
L |
9.134388970666 |
L(r)(E,1)/r! |
Ω |
0.22993194563724 |
Real period |
R |
1.527941894912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350bi1 2550bf1 |
Quadratic twists by: 5 17 |