Atkin-Lehner |
3+ 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905g |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19839413534922135 = 39 · 5 · 78 · 112 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-253275,-48527470] |
[a1,a2,a3,a4,a6] |
j |
91287298759184163/1007946630845 |
j-invariant |
L |
3.4073058829649 |
L(r)(E,1)/r! |
Ω |
0.21295661784297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905m2 |
Quadratic twists by: -3 |