Atkin-Lehner |
3- 7- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
84357k |
Isogeny class |
Conductor |
84357 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
1326080 |
Modular degree for the optimal curve |
Δ |
-2364857733745373139 = -1 · 36 · 77 · 135 · 1032 |
Discriminant |
Eigenvalues |
0 3- 3 7- 4 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-447786,-137025277] |
[a1,a2,a3,a4,a6] |
Generators |
[3793:229638:1] |
Generators of the group modulo torsion |
j |
-13620960001444773888/3243974943409291 |
j-invariant |
L |
8.1117831235227 |
L(r)(E,1)/r! |
Ω |
0.091130494274045 |
Real period |
R |
0.6358059228049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9373e1 |
Quadratic twists by: -3 |