Atkin-Lehner |
3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34485q |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-948926269409765625 = -1 · 38 · 58 · 117 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7257,-46866569] |
[a1,a2,a3,a4,a6] |
Generators |
[635:14307:1] |
Generators of the group modulo torsion |
j |
23862997439/535644140625 |
j-invariant |
L |
8.7307980863766 |
L(r)(E,1)/r! |
Ω |
0.12863655512536 |
Real period |
R |
2.120994611006 |
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 |
103455r3 3135e4 |
Quadratic twists by: -3 -11 |