Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960a |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22095360 |
Modular degree for the optimal curve |
Δ |
-3.2500031241667E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150923201,-713647234299] |
[a1,a2,a3,a4,a6] |
Generators |
[659127:86018750:27] |
Generators of the group modulo torsion |
j |
-257612808846922138624/22022138671875 |
j-invariant |
L |
2.6412859038442 |
L(r)(E,1)/r! |
Ω |
0.02153665888495 |
Real period |
R |
7.6650871815749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99960bw1 |
Quadratic twists by: -7 |