Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720bd |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2838551040 = 29 · 38 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-718] |
[a1,a2,a3,a4,a6] |
Generators |
[34:162:1] |
Generators of the group modulo torsion |
j |
14172488/7605 |
j-invariant |
L |
4.923233988079 |
L(r)(E,1)/r! |
Ω |
1.1638238395148 |
Real period |
R |
2.1151113342598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18720be2 37440fr2 6240g2 93600br2 |
Quadratic twists by: -4 8 -3 5 |