Atkin-Lehner |
2- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55100j |
Isogeny class |
Conductor |
55100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
607202000 = 24 · 53 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-920,-10675] |
[a1,a2,a3,a4,a6] |
Generators |
[-447:116:27] |
Generators of the group modulo torsion |
j |
43058331648/303601 |
j-invariant |
L |
5.0078662582761 |
L(r)(E,1)/r! |
Ω |
0.8672357132457 |
Real period |
R |
2.8872578595435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55100k1 |
Quadratic twists by: 5 |