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 |
1946017423133437500 = 22 · 311 · 57 · 74 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5859792,-5457855884] |
[a1,a2,a3,a4,a6] |
Generators |
[-1402:1268:1] |
Generators of the group modulo torsion |
j |
1953542217204454969/170843779260 |
j-invariant |
L |
4.3069918125933 |
L(r)(E,1)/r! |
Ω |
0.097035641213358 |
Real period |
R |
1.3870521435274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bu4 6930bd3 |
Quadratic twists by: -3 5 |