Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600bl |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
124928000 = 214 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6513,-204497] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1140:1] |
Generators of the group modulo torsion |
j |
14921197328/61 |
j-invariant |
L |
3.9269667498196 |
L(r)(E,1)/r! |
Ω |
0.5314333867617 |
Real period |
R |
3.6946933137503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600cq2 12200e2 97600bh2 |
Quadratic twists by: -4 8 5 |