Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552dr |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
5690986807296 = 214 · 3 · 75 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1075537,-429683665] |
[a1,a2,a3,a4,a6] |
Generators |
[674024010:-92166827095:35937] |
Generators of the group modulo torsion |
j |
8398084548150513232/347350269 |
j-invariant |
L |
10.76930109773 |
L(r)(E,1)/r! |
Ω |
0.14824948155912 |
Real period |
R |
14.52861888452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552f2 27888d2 |
Quadratic twists by: -4 8 |