Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650be |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1283878476562500 = 22 · 34 · 510 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-95876,-11303602] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:367:1] |
Generators of the group modulo torsion |
j |
6237734630203441/82168222500 |
j-invariant |
L |
4.1700578217117 |
L(r)(E,1)/r! |
Ω |
0.27153059469395 |
Real period |
R |
0.95984989886956 |
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 |
109200cy4 40950ef4 2730w3 95550br4 |
Quadratic twists by: -4 -3 5 -7 |