Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384bf |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
175079052675072 = 211 · 36 · 74 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67395,-6704098] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:52:1] |
Generators of the group modulo torsion |
j |
22675102789250/117267241 |
j-invariant |
L |
7.4950196197371 |
L(r)(E,1)/r! |
Ω |
0.29639975425165 |
Real period |
R |
3.1608577156401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12376o2 |
Quadratic twists by: -3 |