Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760y |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13835522400000000 = 211 · 3 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-317536,-68744236] |
[a1,a2,a3,a4,a6] |
Generators |
[5210:8379:8] |
Generators of the group modulo torsion |
j |
14695548366242/57421875 |
j-invariant |
L |
5.0891150605925 |
L(r)(E,1)/r! |
Ω |
0.20116539283962 |
Real period |
R |
6.3245409520437 |
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 |
5880t5 47040fh6 35280cj6 58800bf6 |
Quadratic twists by: -4 8 -3 5 |