Atkin-Lehner |
2- 3+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
84162o |
Isogeny class |
Conductor |
84162 |
Conductor |
∏ cp |
62 |
Product of Tamagawa factors cp |
deg |
19498752 |
Modular degree for the optimal curve |
Δ |
-5.1034268346185E+22 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 5 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-185647771,973588149737] |
[a1,a2,a3,a4,a6] |
Generators |
[5491:343366:1] |
Generators of the group modulo torsion |
j |
-146599610355035416109881/10573086348804096 |
j-invariant |
L |
6.0482268515589 |
L(r)(E,1)/r! |
Ω |
0.10704789464583 |
Real period |
R |
0.91129345722399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6474a1 |
Quadratic twists by: 13 |