Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7280o |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20384000000000 = 214 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8463616,9480065280] |
[a1,a2,a3,a4,a6] |
Generators |
[-1920:136560:1] |
Generators of the group modulo torsion |
j |
16369358802802724130049/4976562500 |
j-invariant |
L |
5.282481161704 |
L(r)(E,1)/r! |
Ω |
0.40602257520812 |
Real period |
R |
6.505156959556 |
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 |
910j5 29120cd5 65520dq5 36400bx5 |
Quadratic twists by: -4 8 -3 5 |