Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080bq |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-22882335916032000 = -1 · 219 · 314 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72545,10489857] |
[a1,a2,a3,a4,a6] |
Generators |
[1259:43740:1] |
Generators of the group modulo torsion |
j |
-161069099939929/87289184250 |
j-invariant |
L |
6.7376271864863 |
L(r)(E,1)/r! |
Ω |
0.35356002376291 |
Real period |
R |
1.588044163639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080y1 17520r1 |
Quadratic twists by: -4 8 |