Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162f |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-12970152216 = -1 · 23 · 39 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 1 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,201,-5419] |
[a1,a2,a3,a4,a6] |
Generators |
[25:109:1] |
Generators of the group modulo torsion |
j |
928557/13448 |
j-invariant |
L |
4.8901457555334 |
L(r)(E,1)/r! |
Ω |
0.61717458411997 |
Real period |
R |
1.9808599873352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36162bq1 36162a1 |
Quadratic twists by: -3 -7 |