Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600bs |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16451136000000000 = 215 · 32 · 59 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64208,1086912] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:2704:1] |
Generators of the group modulo torsion |
j |
3659383421/2056392 |
j-invariant |
L |
3.5817993766346 |
L(r)(E,1)/r! |
Ω |
0.33758235011957 |
Real period |
R |
1.3262687516713 |
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 |
1950ba2 62400id2 46800et2 15600cv2 |
Quadratic twists by: -4 8 -3 5 |