Atkin-Lehner |
2- 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100k |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-753228000000 = -1 · 28 · 32 · 56 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85533,9656937] |
[a1,a2,a3,a4,a6] |
Generators |
[167:50:1] [3:3066:1] |
Generators of the group modulo torsion |
j |
-17300948475904/188307 |
j-invariant |
L |
9.9569441374142 |
L(r)(E,1)/r! |
Ω |
0.81468410931444 |
Real period |
R |
0.33949573647249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5124b1 |
Quadratic twists by: 5 |