Atkin-Lehner |
5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575d |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11016 |
Modular degree for the optimal curve |
Δ |
-50575 = -1 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ -3 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363,2632] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-5:1] |
Generators of the group modulo torsion |
j |
-732285625/7 |
j-invariant |
L |
1.4777086028358 |
L(r)(E,1)/r! |
Ω |
3.2144314135369 |
Real period |
R |
0.45971072725782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50575bg1 50575w1 |
Quadratic twists by: 5 17 |