Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536cl |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-24862915584589824 = -1 · 223 · 32 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49023,6316065] |
[a1,a2,a3,a4,a6] |
j |
49702082429663/94844496096 |
j-invariant |
L |
3.1237907618698 |
L(r)(E,1)/r! |
Ω |
0.26031589682249 |
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 |
25536ba2 6384bd2 76608ft2 |
Quadratic twists by: -4 8 -3 |