Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bc |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5591168000000 = -1 · 213 · 56 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2525,-102750] |
[a1,a2,a3,a4,a6] |
Generators |
[41:264:1] [55:450:1] |
Generators of the group modulo torsion |
j |
27818127/87362 |
j-invariant |
L |
11.289874208927 |
L(r)(E,1)/r! |
Ω |
0.38908096286864 |
Real period |
R |
3.6270966992303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450f2 3344d2 |
Quadratic twists by: -4 5 |