Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085v |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
499375886625 = 32 · 53 · 79 · 11 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9483,352993] |
[a1,a2,a3,a4,a6] |
j |
2336752783/12375 |
j-invariant |
L |
2.8062937912001 |
L(r)(E,1)/r! |
Ω |
0.93543126373335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360fs1 24255bj1 40425n1 8085e1 |
Quadratic twists by: -4 -3 5 -7 |