Atkin-Lehner |
2+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
104104d |
Isogeny class |
Conductor |
104104 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4992000 |
Modular degree for the optimal curve |
Δ |
235422653039205632 = 28 · 7 · 115 · 138 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11- 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41552593,103082977011] |
[a1,a2,a3,a4,a6] |
Generators |
[3774:5577:1] [1915:174746:1] |
Generators of the group modulo torsion |
j |
37995426980992000/1127357 |
j-invariant |
L |
7.6702535222951 |
L(r)(E,1)/r! |
Ω |
0.22941303977907 |
Real period |
R |
0.55723754349357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104104v1 |
Quadratic twists by: 13 |