Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96900f |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
533725200 = 24 · 35 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -6 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-358,-2243] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:13:1] |
Generators of the group modulo torsion |
j |
12721120000/1334313 |
j-invariant |
L |
5.6807258169659 |
L(r)(E,1)/r! |
Ω |
1.1047473799162 |
Real period |
R |
2.5710519552473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96900bj1 |
Quadratic twists by: 5 |