Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350l |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
617760 |
Modular degree for the optimal curve |
Δ |
1999823554687500 = 22 · 311 · 510 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1103450,-446601000] |
[a1,a2,a3,a4,a6] |
Generators |
[-443196:262592:729] |
Generators of the group modulo torsion |
j |
52648307940625/708588 |
j-invariant |
L |
2.4775890118899 |
L(r)(E,1)/r! |
Ω |
0.14730303308203 |
Real period |
R |
8.4098370551255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350dq1 43350bn1 |
Quadratic twists by: 5 17 |