Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
75852p |
Isogeny class |
Conductor |
75852 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-76473190257408 = -1 · 28 · 310 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 3 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4704,-401996] |
[a1,a2,a3,a4,a6] |
Generators |
[4690:114219:8] |
Generators of the group modulo torsion |
j |
524288/3483 |
j-invariant |
L |
5.8502113352653 |
L(r)(E,1)/r! |
Ω |
0.30520244953815 |
Real period |
R |
4.7920743609172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25284m1 1548d1 |
Quadratic twists by: -3 -7 |