Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850bf |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-5421937500000000 = -1 · 28 · 36 · 512 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-449938,116032031] |
[a1,a2,a3,a4,a6] |
Generators |
[305:2547:1] |
Generators of the group modulo torsion |
j |
-644706081631626841/347004000000 |
j-invariant |
L |
6.4973464443573 |
L(r)(E,1)/r! |
Ω |
0.42349216999242 |
Real period |
R |
0.95889412259878 |
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 |
53550u1 3570n1 124950hj1 |
Quadratic twists by: -3 5 -7 |