Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240v |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7312896000000 = 215 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67212,6705584] |
[a1,a2,a3,a4,a6] |
Generators |
[133:345:1] |
Generators of the group modulo torsion |
j |
37953380909016/8265625 |
j-invariant |
L |
6.6949547218348 |
L(r)(E,1)/r! |
Ω |
0.7238986083268 |
Real period |
R |
0.77070585167489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240n2 33120a2 66240d2 |
Quadratic twists by: -4 8 -3 |