Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400dl |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-92688264960000000 = -1 · 214 · 3 · 57 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1310008,576859988] |
[a1,a2,a3,a4,a6] |
j |
-3884775383991601/1448254140 |
j-invariant |
L |
3.9894002107854 |
L(r)(E,1)/r! |
Ω |
0.33245001756545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2550d3 81600gm3 61200ev3 4080v3 |
Quadratic twists by: -4 8 -3 5 |