Atkin-Lehner |
2+ 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650bg |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3784704 |
Modular degree for the optimal curve |
Δ |
8.439201792E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10616026,13305239948] |
[a1,a2,a3,a4,a6] |
Generators |
[1015304:3198067:512] |
Generators of the group modulo torsion |
j |
8468169606734482462609/5401089146880000 |
j-invariant |
L |
5.84511317602 |
L(r)(E,1)/r! |
Ω |
0.18989344640719 |
Real period |
R |
7.6952539526503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330q1 |
Quadratic twists by: 5 |