Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520eq |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-228322800000000 = -1 · 210 · 39 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-439788,-112259288] |
[a1,a2,a3,a4,a6] |
Generators |
[58061:13989375:1] |
Generators of the group modulo torsion |
j |
-12601619217266944/305859375 |
j-invariant |
L |
4.3265567407596 |
L(r)(E,1)/r! |
Ω |
0.092695378642795 |
Real period |
R |
5.8343749250979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520bb1 20880bb1 27840el1 |
Quadratic twists by: -4 8 -3 |