Atkin-Lehner |
3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585s |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
702846661116796875 = 310 · 58 · 77 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49348350,133443432261] |
[a1,a2,a3,a4,a6] |
Generators |
[3588:48831:1] [12006722:91990389:2744] |
Generators of the group modulo torsion |
j |
154962229997864551249/8194921875 |
j-invariant |
L |
11.824641700526 |
L(r)(E,1)/r! |
Ω |
0.2145211387188 |
Real period |
R |
13.780275654051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27195u4 11655l3 |
Quadratic twists by: -3 -7 |