Atkin-Lehner |
2+ 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100016i |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
72192 |
Modular degree for the optimal curve |
Δ |
43904623616 = 210 · 7 · 194 · 47 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1072,9360] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:150:1] |
Generators of the group modulo torsion |
j |
133172077252/42875609 |
j-invariant |
L |
13.073002179844 |
L(r)(E,1)/r! |
Ω |
1.0523327398537 |
Real period |
R |
3.1057197202289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50008b1 |
Quadratic twists by: -4 |