Atkin-Lehner |
3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705j |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2.4196718481838E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4786857,-3963014586] |
[a1,a2,a3,a4,a6] |
Generators |
[870378:43934981:216] |
Generators of the group modulo torsion |
j |
502552788401502649/10024505152875 |
j-invariant |
L |
5.0588625432031 |
L(r)(E,1)/r! |
Ω |
0.10219117590355 |
Real period |
R |
8.2506512836718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006546 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
345c3 |
Quadratic twists by: 17 |