Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600bt |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
9960000000000 = 212 · 3 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5408,21312] |
[a1,a2,a3,a4,a6] |
Generators |
[82:350:1] |
Generators of the group modulo torsion |
j |
273359449/155625 |
j-invariant |
L |
5.9788773015265 |
L(r)(E,1)/r! |
Ω |
0.62254915136098 |
Real period |
R |
2.4009659636682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6225e1 19920k1 |
Quadratic twists by: -4 5 |