Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216m |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
940270032 = 24 · 38 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1470,21643] |
[a1,a2,a3,a4,a6] |
Generators |
[347:6426:1] |
Generators of the group modulo torsion |
j |
30118144000/80613 |
j-invariant |
L |
7.4705603254478 |
L(r)(E,1)/r! |
Ω |
1.5745355391923 |
Real period |
R |
4.7446120575739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49608p1 33072i1 |
Quadratic twists by: -4 -3 |