Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12540f |
Isogeny class |
Conductor |
12540 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
786258000 = 24 · 32 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-305,1650] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:57:1] [-10:60:1] |
Generators of the group modulo torsion |
j |
196755275776/49141125 |
j-invariant |
L |
5.3954269694946 |
L(r)(E,1)/r! |
Ω |
1.4937099400372 |
Real period |
R |
0.20067212161834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160ch1 37620h1 62700z1 |
Quadratic twists by: -4 -3 5 |