Atkin-Lehner |
3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475ba |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.7858415693604E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3481542,-2491227009] |
[a1,a2,a3,a4,a6] |
Generators |
[49760180018208:-3669839668629:23100424192] |
Generators of the group modulo torsion |
j |
409723754843086489/1567817015625 |
j-invariant |
L |
8.2514791315687 |
L(r)(E,1)/r! |
Ω |
0.11054945141553 |
Real period |
R |
18.660153949668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002071 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27825q2 16695o2 |
Quadratic twists by: -3 5 |