Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120cy |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-22655079840153600 = -1 · 216 · 314 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55040,5285300] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:2016:1] |
Generators of the group modulo torsion |
j |
4501851336380159/5531025351600 |
j-invariant |
L |
10.483558110937 |
L(r)(E,1)/r! |
Ω |
0.25507050302433 |
Real period |
R |
0.73393980317402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390r2 |
Quadratic twists by: -4 |