Atkin-Lehner |
2+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800b |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-19760000000 = -1 · 210 · 57 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -4 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,45188] |
[a1,a2,a3,a4,a6] |
Generators |
[38:100:1] |
Generators of the group modulo torsion |
j |
-96550276/1235 |
j-invariant |
L |
7.6950620967293 |
L(r)(E,1)/r! |
Ω |
1.222143529973 |
Real period |
R |
0.39352283011568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49400q1 19760e1 |
Quadratic twists by: -4 5 |