Atkin-Lehner |
2+ 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080y |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
168 |
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 |
[1171:38880:1] |
Generators of the group modulo torsion |
j |
-161069099939929/87289184250 |
j-invariant |
L |
8.1418524078395 |
L(r)(E,1)/r! |
Ω |
0.14186187463034 |
Real period |
R |
0.34162390220698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080bq1 2190a1 |
Quadratic twists by: -4 8 |