Atkin-Lehner |
2- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92720r |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
2686562000 = 24 · 53 · 192 · 612 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-428,2323] |
[a1,a2,a3,a4,a6] |
Generators |
[661:16986:1] |
Generators of the group modulo torsion |
j |
541919821824/167910125 |
j-invariant |
L |
6.6988493150773 |
L(r)(E,1)/r! |
Ω |
1.3315455841566 |
Real period |
R |
5.0308824585614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23180a1 |
Quadratic twists by: -4 |