Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2760f |
Isogeny class |
Conductor |
2760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7649547509680588800 = -1 · 211 · 324 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,387120,95330700] |
[a1,a2,a3,a4,a6] |
Generators |
[65235:3321010:27] |
Generators of the group modulo torsion |
j |
3132776881711582558/3735130619961225 |
j-invariant |
L |
2.923721416272 |
L(r)(E,1)/r! |
Ω |
0.15666792497588 |
Real period |
R |
9.3309508526462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5520k6 22080w5 8280i6 13800n6 |
Quadratic twists by: -4 8 -3 5 |