Atkin-Lehner |
2- 3- 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
99990v |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7441145922551343750 = -1 · 2 · 313 · 56 · 114 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76478,-131476669] |
[a1,a2,a3,a4,a6] |
Generators |
[182934:27568733:8] |
Generators of the group modulo torsion |
j |
-67857901683378841/10207333227093750 |
j-invariant |
L |
11.061567723893 |
L(r)(E,1)/r! |
Ω |
0.10446095192251 |
Real period |
R |
6.6182431728747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33330e2 |
Quadratic twists by: -3 |