Atkin-Lehner |
3+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31059d |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9752686886893419 = -1 · 39 · 72 · 17 · 296 |
Discriminant |
Eigenvalues |
0 3+ 3 7- -3 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,22464,-4571242] |
[a1,a2,a3,a4,a6] |
Generators |
[167610:1975009:1000] |
Generators of the group modulo torsion |
j |
63693291257856/495487826393 |
j-invariant |
L |
5.8530532226959 |
L(r)(E,1)/r! |
Ω |
0.20287283200634 |
Real period |
R |
3.6063559896187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31059c1 |
Quadratic twists by: -3 |