Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840bk |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
41983839000000 = 26 · 312 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30480,-2034522] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:150:1] |
Generators of the group modulo torsion |
j |
48933116293063744/655997484375 |
j-invariant |
L |
7.4060063155444 |
L(r)(E,1)/r! |
Ω |
0.36161543435958 |
Real period |
R |
1.1377965544951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840t1 37920b2 |
Quadratic twists by: -4 8 |