Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100q |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
9954677250000 = 24 · 39 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12900,543125] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:450:1] |
Generators of the group modulo torsion |
j |
1302642688/54621 |
j-invariant |
L |
7.3279103178295 |
L(r)(E,1)/r! |
Ω |
0.71820723421606 |
Real period |
R |
2.5507645759057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35700e1 4284i1 |
Quadratic twists by: -3 5 |