Atkin-Lehner |
2+ 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
89082p |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4112640 |
Modular degree for the optimal curve |
Δ |
-1.4318859973473E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-579483,-600091227] |
[a1,a2,a3,a4,a6] |
Generators |
[562363783245:37371916933289:121287375] |
Generators of the group modulo torsion |
j |
-250917218570017/1669524027264 |
j-invariant |
L |
5.8581326260455 |
L(r)(E,1)/r! |
Ω |
0.076981135859813 |
Real period |
R |
19.024571931211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29694o1 1818f1 |
Quadratic twists by: -3 -7 |