Atkin-Lehner |
2- 3+ 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
28470p |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
7182639360 = 28 · 34 · 5 · 13 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-584530,171768287] |
[a1,a2,a3,a4,a6] |
Generators |
[-715:15351:1] |
Generators of the group modulo torsion |
j |
22087378576877173017121/7182639360 |
j-invariant |
L |
7.7969690756462 |
L(r)(E,1)/r! |
Ω |
0.79017210688731 |
Real period |
R |
4.933715710594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85410h1 |
Quadratic twists by: -3 |