Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121086r |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
11874240 |
Modular degree for the optimal curve |
Δ |
-5.5300761873237E+22 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5580227,12401136343] |
[a1,a2,a3,a4,a6] |
Generators |
[883:89900:1] |
Generators of the group modulo torsion |
j |
-1144707147/3294172 |
j-invariant |
L |
12.328271424536 |
L(r)(E,1)/r! |
Ω |
0.09844005629961 |
Real period |
R |
4.4727261109142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999511237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121086a1 121086t1 |
Quadratic twists by: -3 -31 |