Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98020g |
Isogeny class |
Conductor |
98020 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
443808338522770000 = 24 · 54 · 137 · 294 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-410332,95958369] |
[a1,a2,a3,a4,a6] |
Generators |
[-542:12615:1] |
Generators of the group modulo torsion |
j |
98934958669824/5746658125 |
j-invariant |
L |
6.516212200915 |
L(r)(E,1)/r! |
Ω |
0.29252907406138 |
Real period |
R |
1.8562862011966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540a1 |
Quadratic twists by: 13 |