Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710bz |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9.9087340408539E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,20341610,32361672905] |
[a1,a2,a3,a4,a6] |
Generators |
[1228345462:140858975907:405224] |
Generators of the group modulo torsion |
j |
525440531549759128199/559322204589843750 |
j-invariant |
L |
8.5221760149642 |
L(r)(E,1)/r! |
Ω |
0.058216274766985 |
Real period |
R |
9.149262865946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610i4 |
Quadratic twists by: -11 |