Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650y |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1595150055056250000 = 24 · 316 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-392292,-72368384] |
[a1,a2,a3,a4,a6] |
Generators |
[-276:3988:1] |
Generators of the group modulo torsion |
j |
586145095611769/140040608400 |
j-invariant |
L |
4.3069918125933 |
L(r)(E,1)/r! |
Ω |
0.19407128242672 |
Real period |
R |
2.7741042870548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11550bu2 6930bd2 |
Quadratic twists by: -3 5 |