Atkin-Lehner |
2+ 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150bc |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
237181175156250 = 2 · 38 · 57 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21626,-976102] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:541:1] |
Generators of the group modulo torsion |
j |
71581931663761/15179595210 |
j-invariant |
L |
6.1849852541811 |
L(r)(E,1)/r! |
Ω |
0.39959870367855 |
Real period |
R |
0.96737445552665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999641 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bc2 |
Quadratic twists by: 5 |