Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bk |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-706210541568 = -1 · 212 · 33 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3225,80199] |
[a1,a2,a3,a4,a6] |
Generators |
[9:228:1] |
Generators of the group modulo torsion |
j |
-905915267776/172414683 |
j-invariant |
L |
4.098685369943 |
L(r)(E,1)/r! |
Ω |
0.86763100294576 |
Real period |
R |
0.39366633165744 |
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 |
25536q2 12768l1 76608bx2 |
Quadratic twists by: -4 8 -3 |