Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bq |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2081881623500000000 = 28 · 59 · 7 · 296 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-319908,-5690312] |
[a1,a2,a3,a4,a6] |
Generators |
[-78978:1708057:216] |
Generators of the group modulo torsion |
j |
905191319325904/520470405875 |
j-invariant |
L |
4.4289774085839 |
L(r)(E,1)/r! |
Ω |
0.21826508413653 |
Real period |
R |
10.145867873003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20300d4 16240j4 |
Quadratic twists by: -4 5 |