Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600y |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-1830000 = -1 · 24 · 3 · 54 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 5 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-63] |
[a1,a2,a3,a4,a6] |
j |
-6400/183 |
j-invariant |
L |
2.2938256842706 |
L(r)(E,1)/r! |
Ω |
1.1469128421432 |
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 |
73200be1 109800bc1 36600m1 |
Quadratic twists by: -4 -3 5 |