Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474cf |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-26023595429385216 = -1 · 210 · 37 · 13 · 197 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 2 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,61663,5034737] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-3290:1] |
Generators of the group modulo torsion |
j |
756058031/758784 |
j-invariant |
L |
11.385490735691 |
L(r)(E,1)/r! |
Ω |
0.24807097937465 |
Real period |
R |
1.1474025261541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28158j1 4446e1 |
Quadratic twists by: -3 -19 |