Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91872r |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1904640 |
Modular degree for the optimal curve |
Δ |
1.3921663977294E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1351485,208430884] |
[a1,a2,a3,a4,a6] |
Generators |
[-1099:19140:1] [-780:28072:1] |
Generators of the group modulo torsion |
j |
157984203003904584000/80565185053782011 |
j-invariant |
L |
10.745503433403 |
L(r)(E,1)/r! |
Ω |
0.16246944228871 |
Real period |
R |
1.6534653042804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91872c1 91872a1 |
Quadratic twists by: -4 -3 |