Atkin-Lehner |
2+ 3- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786bd |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
-1.0475682549611E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6641731,6769228526] |
[a1,a2,a3,a4,a6] |
Generators |
[-2642:77981:1] |
Generators of the group modulo torsion |
j |
-802943717037871375/25959717924624 |
j-invariant |
L |
6.0578233047614 |
L(r)(E,1)/r! |
Ω |
0.15481461936158 |
Real period |
R |
4.8911912631042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93786b1 |
Quadratic twists by: -7 |