Atkin-Lehner |
3- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57717o |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
-91104024937167 = -1 · 36 · 119 · 53 |
Discriminant |
Eigenvalues |
1 3- 2 4 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9234,304695] |
[a1,a2,a3,a4,a6] |
Generators |
[225691299323490:-3441023517681385:1835116112907] |
Generators of the group modulo torsion |
j |
50653/53 |
j-invariant |
L |
9.6127010537962 |
L(r)(E,1)/r! |
Ω |
0.39883300440244 |
Real period |
R |
24.10207015952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6413b1 57717p1 |
Quadratic twists by: -3 -11 |