Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650q |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
8626501477440000000 = 212 · 310 · 57 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10743192,13555345216] |
[a1,a2,a3,a4,a6] |
Generators |
[2039:-12157:1] |
Generators of the group modulo torsion |
j |
12038605770121350841/757333463040 |
j-invariant |
L |
3.8046437476876 |
L(r)(E,1)/r! |
Ω |
0.22007093834035 |
Real period |
R |
0.72034419453955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bl3 6930ba3 |
Quadratic twists by: -3 5 |