Atkin-Lehner |
2- 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7410n |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
85519585382400 = 212 · 34 · 52 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18835,882065] |
[a1,a2,a3,a4,a6] |
j |
738961865281963441/85519585382400 |
j-invariant |
L |
3.5175071069101 |
L(r)(E,1)/r! |
Ω |
0.58625118448502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
59280cg2 22230l2 37050v2 96330d2 |
Quadratic twists by: -4 -3 5 13 |