Atkin-Lehner |
3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46827j |
Isogeny class |
Conductor |
46827 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1393920 |
Modular degree for the optimal curve |
Δ |
-7801348605382827 = -1 · 39 · 118 · 432 |
Discriminant |
Eigenvalues |
-2 3+ 0 -1 11- 6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9163935,10677538550] |
[a1,a2,a3,a4,a6] |
Generators |
[1815:4900:1] |
Generators of the group modulo torsion |
j |
-20171441664000/1849 |
j-invariant |
L |
3.0383527820986 |
L(r)(E,1)/r! |
Ω |
0.31919304024793 |
Real period |
R |
0.79323805111413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46827i1 46827c1 |
Quadratic twists by: -3 -11 |