Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160dc |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
43356487680 = 215 · 37 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3681,84159] |
[a1,a2,a3,a4,a6] |
Generators |
[27:72:1] |
Generators of the group modulo torsion |
j |
1391566088/10935 |
j-invariant |
L |
7.6480550359041 |
L(r)(E,1)/r! |
Ω |
1.146546492312 |
Real period |
R |
0.2382326597301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160t1 58080j1 116160df1 |
Quadratic twists by: -4 8 -11 |