Atkin-Lehner |
2+ 3- 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290o |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
139264 |
Modular degree for the optimal curve |
Δ |
70924410000 = 24 · 38 · 54 · 23 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2124,35968] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:184:1] [-28:284:1] |
Generators of the group modulo torsion |
j |
1454034564289/97290000 |
j-invariant |
L |
7.3764716480577 |
L(r)(E,1)/r! |
Ω |
1.0745007994058 |
Real period |
R |
0.85812775262892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430u1 |
Quadratic twists by: -3 |