Atkin-Lehner |
5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
28475c |
Isogeny class |
Conductor |
28475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
344600890625 = 56 · 173 · 672 |
Discriminant |
Eigenvalues |
1 2 5+ 2 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2000,18875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1956338:-9199415:50653] |
Generators of the group modulo torsion |
j |
56667352321/22054457 |
j-invariant |
L |
9.9839512886936 |
L(r)(E,1)/r! |
Ω |
0.87373346406521 |
Real period |
R |
11.4267699468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1139b1 |
Quadratic twists by: 5 |