Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350c |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
3939251260800 = 27 · 3 · 52 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5930,-150060] |
[a1,a2,a3,a4,a6] |
Generators |
[-298:1305:8] |
Generators of the group modulo torsion |
j |
38226865/6528 |
j-invariant |
L |
2.9191122055962 |
L(r)(E,1)/r! |
Ω |
0.5503697974542 |
Real period |
R |
2.6519553026889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350dk1 2550l1 |
Quadratic twists by: 5 17 |