Atkin-Lehner |
3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461w |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
54455740504893 = 36 · 76 · 133 · 172 |
Discriminant |
Eigenvalues |
1 3- 4 7- -6 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5167500,4522649543] |
[a1,a2,a3,a4,a6] |
Generators |
[1294:523:1] |
Generators of the group modulo torsion |
j |
177930109857804849/634933 |
j-invariant |
L |
9.274622382598 |
L(r)(E,1)/r! |
Ω |
0.42007488721756 |
Real period |
R |
1.8398748021033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999813927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10829c2 1989b2 |
Quadratic twists by: -3 -7 |