Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372k |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
5755795967376 = 24 · 32 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5126,-79743] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:169:1] |
Generators of the group modulo torsion |
j |
23296/9 |
j-invariant |
L |
4.9442728089824 |
L(r)(E,1)/r! |
Ω |
0.58301270394787 |
Real period |
R |
0.47114208805094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372bb1 99372h1 |
Quadratic twists by: -7 13 |