Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19800m |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-64953900000000 = -1 · 28 · 310 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9825,99250] |
[a1,a2,a3,a4,a6] |
Generators |
[15:500:1] |
Generators of the group modulo torsion |
j |
35969456/22275 |
j-invariant |
L |
4.9268142787409 |
L(r)(E,1)/r! |
Ω |
0.383400737649 |
Real period |
R |
1.6062874281855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39600i2 6600ba2 3960r2 |
Quadratic twists by: -4 -3 5 |