Atkin-Lehner |
2- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
108100g |
Isogeny class |
Conductor |
108100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
7769687500000000 = 28 · 513 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 -3 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81175,7826750] |
[a1,a2,a3,a4,a6] |
Generators |
[-80370:2864150:729] |
Generators of the group modulo torsion |
j |
14788720896336/1942421875 |
j-invariant |
L |
13.910781345411 |
L(r)(E,1)/r! |
Ω |
0.40096149313509 |
Real period |
R |
8.6733897856188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21620c1 |
Quadratic twists by: 5 |