Atkin-Lehner |
3- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701s |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1905618383361 = 34 · 79 · 11 · 53 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11+ -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1066437,-423976680] |
[a1,a2,a3,a4,a6] |
Generators |
[6724151016:957411428972:328509] |
Generators of the group modulo torsion |
j |
3323892663738919/47223 |
j-invariant |
L |
5.4741891604004 |
L(r)(E,1)/r! |
Ω |
0.14856474156028 |
Real period |
R |
18.423581203878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85701e2 |
Quadratic twists by: -7 |