Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60270bo |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-113048744344092900 = -1 · 22 · 314 · 52 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35281,-16379539] |
[a1,a2,a3,a4,a6] |
Generators |
[410:5969:1] |
Generators of the group modulo torsion |
j |
-41281826100481/960898472100 |
j-invariant |
L |
9.9507077808729 |
L(r)(E,1)/r! |
Ω |
0.14406952767661 |
Real period |
R |
1.2333712287025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610n2 |
Quadratic twists by: -7 |