Atkin-Lehner |
2- 3- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
14892g |
Isogeny class |
Conductor |
14892 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-4825008 = -1 · 24 · 35 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -4 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89,312] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:9:1] [7:-9:1] |
Generators of the group modulo torsion |
j |
-4927700992/301563 |
j-invariant |
L |
6.6310076077052 |
L(r)(E,1)/r! |
Ω |
2.4000671367312 |
Real period |
R |
0.18418950331909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59568u1 44676l1 |
Quadratic twists by: -4 -3 |