Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960be |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1427697156614400 = 28 · 38 · 52 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112716,-14489280] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:294:1] |
Generators of the group modulo torsion |
j |
5258429611216/47403225 |
j-invariant |
L |
8.1223034993636 |
L(r)(E,1)/r! |
Ω |
0.2606988382952 |
Real period |
R |
1.9472429286311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869503 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2040c2 |
Quadratic twists by: -7 |