Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
85848k |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1638912 |
Modular degree for the optimal curve |
Δ |
-2.4737018551139E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -3 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169360,240849484] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:16352:1] |
Generators of the group modulo torsion |
j |
-109253837194082/5030663198427 |
j-invariant |
L |
5.1207343981439 |
L(r)(E,1)/r! |
Ω |
0.17639455307585 |
Real period |
R |
2.4191669113772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85848t1 |
Quadratic twists by: -7 |