Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
13140a |
Isogeny class |
Conductor |
13140 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
671300524800 = 28 · 39 · 52 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2943,47142] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:270:1] |
Generators of the group modulo torsion |
j |
559452528/133225 |
j-invariant |
L |
3.8486049978332 |
L(r)(E,1)/r! |
Ω |
0.85321191478252 |
Real period |
R |
0.75178763352014 |
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 |
52560k2 13140b2 65700b2 |
Quadratic twists by: -4 -3 5 |