Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41328ci |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-166023851225186304 = -1 · 216 · 37 · 75 · 413 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 2 3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132477,-6314366] |
[a1,a2,a3,a4,a6] |
Generators |
[1055:36162:1] |
Generators of the group modulo torsion |
j |
86110813111679/55601051856 |
j-invariant |
L |
5.6541966761556 |
L(r)(E,1)/r! |
Ω |
0.1845038321851 |
Real period |
R |
0.25537846600032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166m1 13776s1 |
Quadratic twists by: -4 -3 |