Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350t |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
1566581779800000000 = 29 · 313 · 58 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-523325,132472125] |
[a1,a2,a3,a4,a6] |
j |
8259098703305/816293376 |
j-invariant |
L |
1.5596936615807 |
L(r)(E,1)/r! |
Ω |
0.25994894359899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350cu1 43350bp1 |
Quadratic twists by: 5 17 |