Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3920l |
Isogeny class |
Conductor |
3920 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-156800000 = -1 · 210 · 55 · 72 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 2 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,-608] |
[a1,a2,a3,a4,a6] |
Generators |
[14:50:1] |
Generators of the group modulo torsion |
j |
137564/3125 |
j-invariant |
L |
3.1472959283296 |
L(r)(E,1)/r! |
Ω |
0.88370390974342 |
Real period |
R |
0.35614824078841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1960e1 15680ce1 35280bj1 19600j1 |
Quadratic twists by: -4 8 -3 5 |