Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fd |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4021248 |
Modular degree for the optimal curve |
Δ |
-6224981904240000000 = -1 · 210 · 3 · 57 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8218481,9072034281] |
[a1,a2,a3,a4,a6] |
Generators |
[3466719048856720:514561480001335853:7138888006375] |
Generators of the group modulo torsion |
j |
-2311381447936/234375 |
j-invariant |
L |
6.2274790978299 |
L(r)(E,1)/r! |
Ω |
0.22853885077864 |
Real period |
R |
27.24910480915 |
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 |
116160cx1 29040bj1 116160fe1 |
Quadratic twists by: -4 8 -11 |