Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200gv |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-16214017536000 = -1 · 212 · 35 · 53 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3193,-204743] |
[a1,a2,a3,a4,a6] |
Generators |
[81:248:1] |
Generators of the group modulo torsion |
j |
-7033743296/31668003 |
j-invariant |
L |
4.3582034899697 |
L(r)(E,1)/r! |
Ω |
0.28814718434702 |
Real period |
R |
3.7812303232225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200jd1 45600bx1 91200it1 |
Quadratic twists by: -4 8 5 |