Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162cv |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-118567301246779392 = -1 · 215 · 37 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 1 4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-228668,-45173761] |
[a1,a2,a3,a4,a6] |
j |
-15417797707369/1382449152 |
j-invariant |
L |
6.5163658541581 |
L(r)(E,1)/r! |
Ω |
0.10860609756959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054w1 5166bl1 |
Quadratic twists by: -3 -7 |