Atkin-Lehner |
3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bf |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
1833890625 = 36 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-830,9172] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:125:1] [-1:100:1] |
Generators of the group modulo torsion |
j |
5545233/161 |
j-invariant |
L |
5.3384499542656 |
L(r)(E,1)/r! |
Ω |
1.4785613214035 |
Real period |
R |
1.8052852719015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4025a1 1449e1 |
Quadratic twists by: -3 5 |