Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474r |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-1321104086719883856 = -1 · 24 · 39 · 13 · 199 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27549,-55279067] |
[a1,a2,a3,a4,a6] |
Generators |
[746:-19867:1] |
Generators of the group modulo torsion |
j |
67419143/38520144 |
j-invariant |
L |
2.7521810279639 |
L(r)(E,1)/r! |
Ω |
0.12684813900167 |
Real period |
R |
1.3560412940002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999822334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28158n1 4446v1 |
Quadratic twists by: -3 -19 |