Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28899p |
Isogeny class |
Conductor |
28899 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-7878712204467 = -1 · 317 · 132 · 192 |
Discriminant |
Eigenvalues |
2 3- 4 1 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8463,-328689] |
[a1,a2,a3,a4,a6] |
Generators |
[3644260510:72394945457:8741816] |
Generators of the group modulo torsion |
j |
-544104730624/63950067 |
j-invariant |
L |
14.082826149608 |
L(r)(E,1)/r! |
Ω |
0.24724708046227 |
Real period |
R |
14.239628354031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9633r1 28899g1 |
Quadratic twists by: -3 13 |