Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200bp |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-221854200750000 = -1 · 24 · 37 · 56 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12917,445088] |
[a1,a2,a3,a4,a6] |
Generators |
[164:2646:1] |
Generators of the group modulo torsion |
j |
953312000000/887416803 |
j-invariant |
L |
8.5984489517345 |
L(r)(E,1)/r! |
Ω |
0.36645896332875 |
Real period |
R |
1.6759718968643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600i1 4368e1 |
Quadratic twists by: -4 5 |