Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14706t |
Isogeny class |
Conductor |
14706 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
4565430413033472 = 218 · 310 · 193 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 -4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41477,-41475] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:480:1] [863:-25056:1] |
Generators of the group modulo torsion |
j |
10824513276632329/6262593159168 |
j-invariant |
L |
7.6294151980106 |
L(r)(E,1)/r! |
Ω |
0.36670290696648 |
Real period |
R |
0.38528591932532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648bm1 4902c1 |
Quadratic twists by: -4 -3 |