Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bn |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1912140726272 = 219 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1037036,406479696] |
[a1,a2,a3,a4,a6] |
Generators |
[26754:1482495:8] |
Generators of the group modulo torsion |
j |
3999236143617/62 |
j-invariant |
L |
4.4142055171875 |
L(r)(E,1)/r! |
Ω |
0.59264681169417 |
Real period |
R |
7.4482903332429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216s4 24304n4 1984j3 |
Quadratic twists by: -4 8 -7 |