Atkin-Lehner |
2- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
86848s |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1695744 |
Modular degree for the optimal curve |
Δ |
-2.3891396131987E+20 |
Discriminant |
Eigenvalues |
2- 0 2 1 5 -1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2216204,-1471610352] |
[a1,a2,a3,a4,a6] |
Generators |
[194941650:21610561536:15625] |
Generators of the group modulo torsion |
j |
-4592117514716855577/911384434966528 |
j-invariant |
L |
8.2073321603873 |
L(r)(E,1)/r! |
Ω |
0.06121313969672 |
Real period |
R |
5.5865811652762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86848g1 21712e1 |
Quadratic twists by: -4 8 |