Atkin-Lehner |
2- 5- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
78850p |
Isogeny class |
Conductor |
78850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-46817187500 = -1 · 22 · 58 · 192 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- -3 -3 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-263,10517] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:87:1] [2:99:1] |
Generators of the group modulo torsion |
j |
-5151505/119852 |
j-invariant |
L |
16.075523321663 |
L(r)(E,1)/r! |
Ω |
0.95073217365878 |
Real period |
R |
1.4090476588446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78850b1 |
Quadratic twists by: 5 |