Atkin-Lehner |
2+ 3- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290q |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
55557454500 = 22 · 37 · 53 · 23 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1899,-29295] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:42:1] [-24:57:1] |
Generators of the group modulo torsion |
j |
1039201376689/76210500 |
j-invariant |
L |
8.0365141509507 |
L(r)(E,1)/r! |
Ω |
0.72654750114688 |
Real period |
R |
0.92176975562828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430bb1 |
Quadratic twists by: -3 |