Atkin-Lehner |
3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
8715c |
Isogeny class |
Conductor |
8715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-332285410408308525 = -1 · 328 · 52 · 7 · 83 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22178,-27772443] |
[a1,a2,a3,a4,a6] |
Generators |
[3424134412337480318228:-95709835771995106751227:4172690029097641024] |
Generators of the group modulo torsion |
j |
-1206483665501332009/332285410408308525 |
j-invariant |
L |
3.7880832854814 |
L(r)(E,1)/r! |
Ω |
0.13612703793311 |
Real period |
R |
27.827559777967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26145o3 43575l3 61005v3 |
Quadratic twists by: -3 5 -7 |