Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312bd |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
420913739970117632 = 232 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- 6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-188225,-3750881] |
[a1,a2,a3,a4,a6] |
Generators |
[2893:153860:1] |
Generators of the group modulo torsion |
j |
23912763841/13647872 |
j-invariant |
L |
2.6788350494079 |
L(r)(E,1)/r! |
Ω |
0.24809550342859 |
Real period |
R |
5.3987980686033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312cf1 1666m1 7616c1 |
Quadratic twists by: -4 8 -7 |