Atkin-Lehner |
2+ 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14706a |
Isogeny class |
Conductor |
14706 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
111104 |
Modular degree for the optimal curve |
Δ |
28734995054592 = 214 · 33 · 19 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -6 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-236673,-44257219] |
[a1,a2,a3,a4,a6] |
Generators |
[-17900:9151:64] |
Generators of the group modulo torsion |
j |
54300912478267192011/1064259076096 |
j-invariant |
L |
2.5578647592177 |
L(r)(E,1)/r! |
Ω |
0.21645259679036 |
Real period |
R |
5.9086026158768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648w1 14706m1 |
Quadratic twists by: -4 -3 |