Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472bs |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-311122944 = -1 · 210 · 34 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 11- 2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12881,-558423] |
[a1,a2,a3,a4,a6] |
Generators |
[176:1611:1] |
Generators of the group modulo torsion |
j |
-230837419975936/303831 |
j-invariant |
L |
3.9319295245624 |
L(r)(E,1)/r! |
Ω |
0.22406773290761 |
Real period |
R |
4.3869876689021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65472s1 16368i1 |
Quadratic twists by: -4 8 |