Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200y |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
235263700000000 = 28 · 58 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ -1 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-769375,259748750] |
[a1,a2,a3,a4,a6] |
Generators |
[13647:532:27] |
Generators of the group modulo torsion |
j |
503660535570000/2352637 |
j-invariant |
L |
10.260596833565 |
L(r)(E,1)/r! |
Ω |
0.49212598407367 |
Real period |
R |
3.474922128874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26600q1 53200t1 |
Quadratic twists by: -4 5 |