Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600bu |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
43670016000000000 = 218 · 38 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3559208,2585676912] |
[a1,a2,a3,a4,a6] |
Generators |
[-2044:36288:1] |
Generators of the group modulo torsion |
j |
623295446073461/5458752 |
j-invariant |
L |
4.4605489989724 |
L(r)(E,1)/r! |
Ω |
0.32456585872232 |
Real period |
R |
3.4357811204571 |
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 |
1950l1 62400ih1 46800ez1 15600cy1 |
Quadratic twists by: -4 8 -3 5 |