Atkin-Lehner |
5+ 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
59225b |
Isogeny class |
Conductor |
59225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45504 |
Modular degree for the optimal curve |
Δ |
-4626953125 = -1 · 59 · 23 · 103 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 -4 -2 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1813,29742] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:189:1] [17:54:1] |
Generators of the group modulo torsion |
j |
-42180533641/296125 |
j-invariant |
L |
3.4585608288149 |
L(r)(E,1)/r! |
Ω |
1.3818364369616 |
Real period |
R |
0.62571819940411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11845b1 |
Quadratic twists by: 5 |