Atkin-Lehner |
2+ 3- 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178m |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5797012293796878 = -1 · 2 · 318 · 7 · 114 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,32517,2877259] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:1172:1] [750:20399:8] |
Generators of the group modulo torsion |
j |
5215789840837967/7952005889982 |
j-invariant |
L |
7.5126262052773 |
L(r)(E,1)/r! |
Ω |
0.29000372684892 |
Real period |
R |
12.952637345245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33726l3 |
Quadratic twists by: -3 |