Atkin-Lehner |
17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
104329a |
Isogeny class |
Conductor |
104329 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88000 |
Modular degree for the optimal curve |
Δ |
-165559585771 = -1 · 176 · 193 |
Discriminant |
Eigenvalues |
0 0 1 -3 5 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10982,443398] |
[a1,a2,a3,a4,a6] |
Generators |
[76:218:1] |
Generators of the group modulo torsion |
j |
-884736 |
j-invariant |
L |
4.8243491148238 |
L(r)(E,1)/r! |
Ω |
1.0163576682996 |
Real period |
R |
2.3733520545417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
361a1 104329a2 |
Quadratic twists by: 17 -19 |