Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8085z |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
3683728125 = 37 · 55 · 72 · 11 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-415,1306] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:67:1] |
Generators of the group modulo torsion |
j |
161702969344/75178125 |
j-invariant |
L |
4.4237516142846 |
L(r)(E,1)/r! |
Ω |
1.252721703197 |
Real period |
R |
0.1008946384043 |
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 |
129360ez1 24255bd1 40425u1 8085a1 |
Quadratic twists by: -4 -3 5 -7 |