Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300bb |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-726000 = -1 · 24 · 3 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18,57] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:7:1] [2:-5:1] |
Generators of the group modulo torsion |
j |
-2816/3 |
j-invariant |
L |
7.3138820271496 |
L(r)(E,1)/r! |
Ω |
2.5917341782747 |
Real period |
R |
0.47033385911116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900dq1 36300ch1 36300ba1 |
Quadratic twists by: -3 5 -11 |