Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192t |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8273664 |
Modular degree for the optimal curve |
Δ |
-3.7158978028925E+21 |
Discriminant |
Eigenvalues |
2- -3 -2 2 5 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3779309,-777495086] |
[a1,a2,a3,a4,a6] |
Generators |
[206:3128:1] |
Generators of the group modulo torsion |
j |
237719583/147968 |
j-invariant |
L |
3.9853922039151 |
L(r)(E,1)/r! |
Ω |
0.080704892394143 |
Real period |
R |
6.1727859321946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12274g1 98192i1 |
Quadratic twists by: -4 -19 |