Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320bj |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-2373857280 = -1 · 212 · 37 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16248,-797168] |
[a1,a2,a3,a4,a6] |
Generators |
[1037872:28567332:1331] |
Generators of the group modulo torsion |
j |
-158867831296/795 |
j-invariant |
L |
7.9554368782878 |
L(r)(E,1)/r! |
Ω |
0.21143138321427 |
Real period |
R |
9.4066414811426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76320bl1 25440w1 |
Quadratic twists by: -4 -3 |