Atkin-Lehner |
2+ 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15470g |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15316537600 = 28 · 52 · 72 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1204,-14640] |
[a1,a2,a3,a4,a6] |
j |
193110574693401/15316537600 |
j-invariant |
L |
1.6290527813692 |
L(r)(E,1)/r! |
Ω |
0.81452639068458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123760bw2 77350bc2 108290d2 |
Quadratic twists by: -4 5 -7 |