Atkin-Lehner |
2+ 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15470g |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5306210000 = 24 · 54 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18884,-994112] |
[a1,a2,a3,a4,a6] |
j |
744763910713124121/5306210000 |
j-invariant |
L |
1.6290527813692 |
L(r)(E,1)/r! |
Ω |
0.40726319534229 |
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 |
123760bw4 77350bc4 108290d4 |
Quadratic twists by: -4 5 -7 |