Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37752q |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-9.6149755776713E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 11- 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,331863,-466108707] |
[a1,a2,a3,a4,a6] |
Generators |
[1734800396308:-29917171873667:2389979753] |
Generators of the group modulo torsion |
j |
608740352/14480427 |
j-invariant |
L |
6.5244973105901 |
L(r)(E,1)/r! |
Ω |
0.091968701785605 |
Real period |
R |
17.735645887989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75504q1 113256q1 37752g1 |
Quadratic twists by: -4 -3 -11 |