Atkin-Lehner |
3+ 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
8295a |
Isogeny class |
Conductor |
8295 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82656 |
Modular degree for the optimal curve |
Δ |
5165980189453125 = 314 · 59 · 7 · 79 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 5 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-44296,973026] |
[a1,a2,a3,a4,a6] |
j |
9612294052705767424/5165980189453125 |
j-invariant |
L |
0.75281425892255 |
L(r)(E,1)/r! |
Ω |
0.37640712946128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24885l1 41475q1 58065w1 |
Quadratic twists by: -3 5 -7 |