Atkin-Lehner |
3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
8295f |
Isogeny class |
Conductor |
8295 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
132000 |
Modular degree for the optimal curve |
Δ |
208331480195142885 = 322 · 5 · 75 · 79 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 1 -5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-385026,-89424484] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:1093:1] |
Generators of the group modulo torsion |
j |
6312407288015085727744/208331480195142885 |
j-invariant |
L |
2.2323735333199 |
L(r)(E,1)/r! |
Ω |
0.19204610031268 |
Real period |
R |
0.52837065723597 |
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 |
24885k1 41475h1 58065l1 |
Quadratic twists by: -3 5 -7 |