Atkin-Lehner |
2- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070cf |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-58748694176972800 = -1 · 214 · 52 · 73 · 114 · 134 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,67990,-9451100] |
[a1,a2,a3,a4,a6] |
Generators |
[340:-7450:1] |
Generators of the group modulo torsion |
j |
101336130396640313/171278991769600 |
j-invariant |
L |
6.6700972288891 |
L(r)(E,1)/r! |
Ω |
0.18495022377508 |
Real period |
R |
0.32200252770396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70070bf1 |
Quadratic twists by: -7 |