Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416gn |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1.1615774923599E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,498996,92093328] |
[a1,a2,a3,a4,a6] |
Generators |
[-942:45045:8] |
Generators of the group modulo torsion |
j |
71903073502287/60782804992 |
j-invariant |
L |
7.6956640414322 |
L(r)(E,1)/r! |
Ω |
0.14673829753571 |
Real period |
R |
4.3704019165616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416cb1 13104cd1 5824bd1 |
Quadratic twists by: -4 8 -3 |