Atkin-Lehner |
2- 3+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50592c |
Isogeny class |
Conductor |
50592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-200749056 = -1 · 212 · 3 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 3 -3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,115,453] |
[a1,a2,a3,a4,a6] |
Generators |
[4:31:1] |
Generators of the group modulo torsion |
j |
40707584/49011 |
j-invariant |
L |
4.7318536917623 |
L(r)(E,1)/r! |
Ω |
1.194120380879 |
Real period |
R |
0.99065675611734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50592h1 101184bi1 |
Quadratic twists by: -4 8 |