Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
9198f |
Isogeny class |
Conductor |
9198 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-1.9852734227276E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 1 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,113101,-213899885] |
[a1,a2,a3,a4,a6] |
Generators |
[955:27170:1] |
Generators of the group modulo torsion |
j |
8128966878211509/1008623392129024 |
j-invariant |
L |
7.1338975704346 |
L(r)(E,1)/r! |
Ω |
0.10249426936488 |
Real period |
R |
1.4500602518725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73584p1 9198a1 64386ba1 |
Quadratic twists by: -4 -3 -7 |