Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472z |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-2768289513472 = -1 · 214 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1156,78608] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:176:1] [64:644:1] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
13.192297850947 |
L(r)(E,1)/r! |
Ω |
0.59993519408826 |
Real period |
R |
10.994769087085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472bv1 16184d1 448a1 |
Quadratic twists by: -4 8 17 |