Atkin-Lehner |
2- 3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290w |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
11081939062500 = 22 · 38 · 58 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11453,-440863] |
[a1,a2,a3,a4,a6] |
Generators |
[990:779:8] |
Generators of the group modulo torsion |
j |
227886404194441/15201562500 |
j-invariant |
L |
10.20508970966 |
L(r)(E,1)/r! |
Ω |
0.46343556891763 |
Real period |
R |
5.5051286467304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430n1 |
Quadratic twists by: -3 |