Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474bk |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
738720 |
Modular degree for the optimal curve |
Δ |
-195337605198348288 = -1 · 215 · 33 · 13 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,109315,-16109755] |
[a1,a2,a3,a4,a6] |
Generators |
[1758:33515:8] |
Generators of the group modulo torsion |
j |
315046125/425984 |
j-invariant |
L |
11.841394955706 |
L(r)(E,1)/r! |
Ω |
0.169476893253 |
Real period |
R |
6.9870262119037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000844 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84474f2 84474d1 |
Quadratic twists by: -3 -19 |