Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730a |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
57113417968750 = 2 · 510 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-257065,-50100825] |
[a1,a2,a3,a4,a6] |
Generators |
[1937293827:-41450300865:2352637] |
Generators of the group modulo torsion |
j |
1411482371105506419/42910156250 |
j-invariant |
L |
3.5616462454672 |
L(r)(E,1)/r! |
Ω |
0.21202620009982 |
Real period |
R |
16.798142134276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125840bb2 78650bq2 15730r2 |
Quadratic twists by: -4 5 -11 |