Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36360v |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-7068384000 = -1 · 28 · 37 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 -4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1767,28874] |
[a1,a2,a3,a4,a6] |
Generators |
[13:90:1] [25:18:1] |
Generators of the group modulo torsion |
j |
-3269383504/37875 |
j-invariant |
L |
8.4237940347105 |
L(r)(E,1)/r! |
Ω |
1.3321050730843 |
Real period |
R |
0.13174314294153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72720s1 12120c1 |
Quadratic twists by: -4 -3 |