Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
14892i |
Isogeny class |
Conductor |
14892 |
Conductor |
∏ cp |
117 |
Product of Tamagawa factors cp |
deg |
48672 |
Modular degree for the optimal curve |
Δ |
-146381401504512 = -1 · 28 · 313 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -4 0 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8003,515423] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:306:1] |
Generators of the group modulo torsion |
j |
221405257736192/571802349627 |
j-invariant |
L |
6.9945505171337 |
L(r)(E,1)/r! |
Ω |
0.40560292189366 |
Real period |
R |
0.14739164790361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59568w1 44676n1 |
Quadratic twists by: -4 -3 |