Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536p |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
22505472 = 211 · 33 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-468864,123415380] |
[a1,a2,a3,a4,a6] |
Generators |
[399:138:1] [420:870:1] |
Generators of the group modulo torsion |
j |
5565899381416019714/10989 |
j-invariant |
L |
7.2043429789128 |
L(r)(E,1)/r! |
Ω |
0.98316433737677 |
Real period |
R |
4.8851398862681 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768n3 78144br4 58608g4 |
Quadratic twists by: -4 8 -3 |