Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600bv |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9033646694400000000 = 219 · 312 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-566619408,-5191220570688] |
[a1,a2,a3,a4,a6] |
Generators |
[-2547991787578965629168825983102924626:-8249455760068467128188394060237658:185406251488766307087134153729903] |
Generators of the group modulo torsion |
j |
314353338448506783273289/141150729600 |
j-invariant |
L |
6.2444641744622 |
L(r)(E,1)/r! |
Ω |
0.030944017151631 |
Real period |
R |
50.449689142562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999839453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450w3 19920m3 |
Quadratic twists by: -4 5 |