Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960bn |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-156696120000000000 = -1 · 212 · 35 · 510 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 2 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16581,19068525] |
[a1,a2,a3,a4,a6] |
Generators |
[-6268:284375:64] |
Generators of the group modulo torsion |
j |
-123089813622784/38255888671875 |
j-invariant |
L |
5.584299114927 |
L(r)(E,1)/r! |
Ω |
0.2635396429578 |
Real period |
R |
3.531599681243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4935f1 |
Quadratic twists by: -4 |