Atkin-Lehner |
2- 3+ 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330z |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-3.4913684791112E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1717657,-240052193] |
[a1,a2,a3,a4,a6] |
Generators |
[547:29102:1] |
Generators of the group modulo torsion |
j |
28473574286649617397/17737989529600000 |
j-invariant |
L |
11.4132377272 |
L(r)(E,1)/r! |
Ω |
0.098266092212991 |
Real period |
R |
0.7259140381938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93330c1 |
Quadratic twists by: -3 |