Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4350a |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57687606562500 = 22 · 32 · 57 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53414500,-150280002500] |
[a1,a2,a3,a4,a6] |
Generators |
[7725550:1084781650:343] |
Generators of the group modulo torsion |
j |
1078651622544688278688321/3692006820 |
j-invariant |
L |
2.4969864379079 |
L(r)(E,1)/r! |
Ω |
0.05584505998489 |
Real period |
R |
11.178188538895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34800cy3 13050bh3 870i3 126150cu3 |
Quadratic twists by: -4 -3 5 29 |