Atkin-Lehner |
2- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
98252j |
Isogeny class |
Conductor |
98252 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
63936 |
Modular degree for the optimal curve |
Δ |
211831312 = 24 · 73 · 113 · 29 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 11+ -7 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-810,9121] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-77:1] [-17:133:1] |
Generators of the group modulo torsion |
j |
2763228416/9947 |
j-invariant |
L |
6.6604398087002 |
L(r)(E,1)/r! |
Ω |
1.7851166433335 |
Real period |
R |
0.20728305637216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98252b1 |
Quadratic twists by: -11 |