Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575s |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-224403961796875 = -1 · 57 · 7 · 177 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- 2 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2408,722968] |
[a1,a2,a3,a4,a6] |
j |
-4096/595 |
j-invariant |
L |
1.8314800958464 |
L(r)(E,1)/r! |
Ω |
0.45787002417999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115b1 2975a1 |
Quadratic twists by: 5 17 |