Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960bd |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28385280 |
Modular degree for the optimal curve |
Δ |
-1.2891679059195E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119461984,214157513520] |
[a1,a2,a3,a4,a6] |
Generators |
[126000233966834582632050470783615897842:29820234417516341772103936930305066046875:2345829172919996234665647068192296] |
Generators of the group modulo torsion |
j |
4562790841518763172/3119802978515625 |
j-invariant |
L |
7.9670533001417 |
L(r)(E,1)/r! |
Ω |
0.03693598517423 |
Real period |
R |
53.924738047195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960r1 |
Quadratic twists by: -7 |