Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129948z |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
63649050192 = 24 · 32 · 76 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,21776] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:153:1] |
Generators of the group modulo torsion |
j |
256000000/33813 |
j-invariant |
L |
8.2951849497659 |
L(r)(E,1)/r! |
Ω |
1.0639096730468 |
Real period |
R |
1.2994814053156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999124885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652c1 |
Quadratic twists by: -7 |