Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300ck |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-757661208480000 = -1 · 28 · 35 · 54 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -4 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37308,3061188] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-726:1] |
Generators of the group modulo torsion |
j |
-20261200/2673 |
j-invariant |
L |
6.0244994638279 |
L(r)(E,1)/r! |
Ω |
0.48976630648861 |
Real period |
R |
0.20501272355179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900du1 36300q1 3300p1 |
Quadratic twists by: -3 5 -11 |