Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085i |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
773838720703125 = 35 · 511 · 72 · 113 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11+ -3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-85486,9555342] |
[a1,a2,a3,a4,a6] |
j |
1409995418369929216/15792626953125 |
j-invariant |
L |
0.50653264397761 |
L(r)(E,1)/r! |
Ω |
0.50653264397761 |
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 |
129360gp1 24255bz1 40425cl1 8085t1 |
Quadratic twists by: -4 -3 5 -7 |