Atkin-Lehner |
3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129591h |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
21822994809 = 39 · 72 · 113 · 17 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11+ 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-716,2126] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:103:1] |
Generators of the group modulo torsion |
j |
41781923/22491 |
j-invariant |
L |
2.9382984864394 |
L(r)(E,1)/r! |
Ω |
1.0552516067944 |
Real period |
R |
0.69611322932018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000243118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43197k1 129591r1 |
Quadratic twists by: -3 -11 |