Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800m |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8719488000 = -1 · 210 · 34 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328,5152] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:70:1] [6:-58:1] |
Generators of the group modulo torsion |
j |
-30581492/68121 |
j-invariant |
L |
7.3222557271481 |
L(r)(E,1)/r! |
Ω |
1.157078115995 |
Real period |
R |
1.5820573446875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17400p2 104400cd2 34800bl2 |
Quadratic twists by: -4 -3 5 |