Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28730w |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-1386742225700 = -1 · 22 · 52 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 -4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7186,240616] |
[a1,a2,a3,a4,a6] |
Generators |
[36:152:1] |
Generators of the group modulo torsion |
j |
-50308609/1700 |
j-invariant |
L |
9.5494660637588 |
L(r)(E,1)/r! |
Ω |
0.84998571059736 |
Real period |
R |
2.8087137068009 |
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 |
28730o1 |
Quadratic twists by: 13 |