Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912u |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1411697645568 = 211 · 33 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12249232,-16505127052] |
[a1,a2,a3,a4,a6] |
Generators |
[-54566970:-5851:27000] |
Generators of the group modulo torsion |
j |
843591384940292354/5859 |
j-invariant |
L |
8.471835018452 |
L(r)(E,1)/r! |
Ω |
0.080699777378688 |
Real period |
R |
8.7483048207339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456t4 10416f3 |
Quadratic twists by: -4 -7 |