Atkin-Lehner |
2+ 3- 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830bc |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
31554621022500 = 22 · 38 · 54 · 192 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-624150,189949536] |
[a1,a2,a3,a4,a6] |
Generators |
[475:-931:1] [240:7224:1] |
Generators of the group modulo torsion |
j |
36886164586610306401/43284802500 |
j-invariant |
L |
7.1117297995284 |
L(r)(E,1)/r! |
Ω |
0.55589177747974 |
Real period |
R |
3.1983427730008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004552 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41610bo2 |
Quadratic twists by: -3 |