Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bj |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-67796211990528 = -1 · 217 · 34 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4031,385055] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:432:1] |
Generators of the group modulo torsion |
j |
55251546334/517244049 |
j-invariant |
L |
6.2577799389972 |
L(r)(E,1)/r! |
Ω |
0.453265021958 |
Real period |
R |
1.7257508399735 |
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 |
25536ch3 3192j4 76608bv3 |
Quadratic twists by: -4 8 -3 |