Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1456g |
Isogeny class |
Conductor |
1456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-745472 = -1 · 213 · 7 · 13 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 3 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-250608,48371776] |
[a1,a2,a3,a4,a6] |
Generators |
[288:40:1] |
Generators of the group modulo torsion |
j |
-424962187484640625/182 |
j-invariant |
L |
2.3364422404388 |
L(r)(E,1)/r! |
Ω |
1.2017433605235 |
Real period |
R |
0.4860526625712 |
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 |
182b3 5824p3 13104bv3 36400bq3 |
Quadratic twists by: -4 8 -3 5 |