Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350a |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3626346712500000 = 25 · 310 · 58 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61775,5125125] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:3140:1] |
Generators of the group modulo torsion |
j |
339630096833/47239200 |
j-invariant |
L |
2.6959534124179 |
L(r)(E,1)/r! |
Ω |
0.42640804556045 |
Real period |
R |
1.5806182836399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670u2 43350z2 |
Quadratic twists by: 5 17 |