Atkin-Lehner |
3- 7+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72891c |
Isogeny class |
Conductor |
72891 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
430360928361 = 38 · 72 · 132 · 892 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72891,-7556328] |
[a1,a2,a3,a4,a6] |
Generators |
[-18562393268276:8386464023093:119386201024] |
Generators of the group modulo torsion |
j |
58751811321433777/590344209 |
j-invariant |
L |
8.9688171485034 |
L(r)(E,1)/r! |
Ω |
0.2905568108956 |
Real period |
R |
15.433844280706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000425 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24297b2 |
Quadratic twists by: -3 |