Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600b |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.6133455625E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3887008,-2719197488] |
[a1,a2,a3,a4,a6] |
Generators |
[10171722:856237850:1331] |
Generators of the group modulo torsion |
j |
405929061432816484/35083409765625 |
j-invariant |
L |
4.4495650897492 |
L(r)(E,1)/r! |
Ω |
0.10811407429921 |
Real period |
R |
10.289051445409 |
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 |
7800e3 62400hb3 46800p3 3120j4 |
Quadratic twists by: -4 8 -3 5 |