Atkin-Lehner |
2+ 3- 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830bc |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
151668450 = 2 · 37 · 52 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9986400,12149287686] |
[a1,a2,a3,a4,a6] |
Generators |
[1825:-894:1] [955080:1067607:512] |
Generators of the group modulo torsion |
j |
151085602494638321702401/208050 |
j-invariant |
L |
7.1117297995284 |
L(r)(E,1)/r! |
Ω |
0.55589177747974 |
Real period |
R |
12.793371092003 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610bo4 |
Quadratic twists by: -3 |