Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440ci |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3888640000 = -1 · 212 · 54 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68,-3008] |
[a1,a2,a3,a4,a6] |
Generators |
[18:40:1] |
Generators of the group modulo torsion |
j |
-8489664/949375 |
j-invariant |
L |
5.6999616232408 |
L(r)(E,1)/r! |
Ω |
0.61804957184627 |
Real period |
R |
2.3056247763451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440cq2 34720k1 |
Quadratic twists by: -4 8 |