Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120z |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-1966083840 = -1 · 28 · 36 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180,-2268] |
[a1,a2,a3,a4,a6] |
Generators |
[32:154:1] |
Generators of the group modulo torsion |
j |
-2533446736/7680015 |
j-invariant |
L |
4.5311294394422 |
L(r)(E,1)/r! |
Ω |
0.60186707082259 |
Real period |
R |
1.8821138666257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240x1 108360o1 |
Quadratic twists by: -4 -3 |