Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400cl |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
611226000000000 = 210 · 34 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-251533408,-1535554874812] |
[a1,a2,a3,a4,a6] |
Generators |
[18578:451500:1] |
Generators of the group modulo torsion |
j |
109999511474021786850916/38201625 |
j-invariant |
L |
7.7390074865093 |
L(r)(E,1)/r! |
Ω |
0.037909725151481 |
Real period |
R |
4.2529805180241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200f4 18480c3 |
Quadratic twists by: -4 5 |