Atkin-Lehner |
2- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85162y |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-3.9143343143535E+20 |
Discriminant |
Eigenvalues |
2- 2 4 7- 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1415364,697759901] |
[a1,a2,a3,a4,a6] |
Generators |
[1365:71257:1] |
Generators of the group modulo torsion |
j |
2665261881377580239/3327129269567488 |
j-invariant |
L |
19.656310682026 |
L(r)(E,1)/r! |
Ω |
0.11325138900235 |
Real period |
R |
4.8212091238116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166o1 |
Quadratic twists by: -7 |