Atkin-Lehner |
5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50575a |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-64852744959296875 = -1 · 57 · 7 · 179 |
Discriminant |
Eigenvalues |
0 0 5+ 7+ -2 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-491300,-133111594] |
[a1,a2,a3,a4,a6] |
Generators |
[2660:131837:1] |
Generators of the group modulo torsion |
j |
-7077888/35 |
j-invariant |
L |
4.3381320773682 |
L(r)(E,1)/r! |
Ω |
0.090137272996039 |
Real period |
R |
6.0160074922031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115k1 50575l1 |
Quadratic twists by: 5 17 |