Atkin-Lehner |
2+ 3- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450bm |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-583754723437500 = -1 · 22 · 312 · 58 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33451,2623298] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:1886:1] |
Generators of the group modulo torsion |
j |
-10596741255625/1494412092 |
j-invariant |
L |
5.507313255594 |
L(r)(E,1)/r! |
Ω |
0.49968422959723 |
Real period |
R |
1.3776983820325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033497 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
105450br1 |
Quadratic twists by: 5 |