Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540bc |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-111636063141120 = -1 · 28 · 32 · 5 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12756,-756540] |
[a1,a2,a3,a4,a6] |
Generators |
[219:2646:1] |
Generators of the group modulo torsion |
j |
-7622072656/3706605 |
j-invariant |
L |
8.3544184399268 |
L(r)(E,1)/r! |
Ω |
0.21952597007968 |
Real period |
R |
3.1713857575994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220d2 |
Quadratic twists by: -7 |