Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680eo |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11416820244480 = 213 · 39 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207003,36250058] |
[a1,a2,a3,a4,a6] |
Generators |
[143:3094:1] |
Generators of the group modulo torsion |
j |
328523283207001/3823470 |
j-invariant |
L |
5.8811640623856 |
L(r)(E,1)/r! |
Ω |
0.65078786467863 |
Real period |
R |
2.25924774447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710z2 28560cx2 |
Quadratic twists by: -4 -3 |