Atkin-Lehner |
2- 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216w |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39680 |
Modular degree for the optimal curve |
Δ |
-76197888 = -1 · 212 · 33 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 -1 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[17:73:1] |
Generators of the group modulo torsion |
j |
110592/689 |
j-invariant |
L |
6.00000030712 |
L(r)(E,1)/r! |
Ω |
0.96721388384224 |
Real period |
R |
3.1016926170922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6201b1 99216u1 |
Quadratic twists by: -4 -3 |