Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21054x |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
571113794341728 = 25 · 32 · 119 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27485818,-55475443033] |
[a1,a2,a3,a4,a6] |
Generators |
[20147:2741103:1] |
Generators of the group modulo torsion |
j |
1296264422595159069625/322378848 |
j-invariant |
L |
6.2647846665871 |
L(r)(E,1)/r! |
Ω |
0.065935968240144 |
Real period |
R |
4.7506579745445 |
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 |
63162ba2 1914b2 |
Quadratic twists by: -3 -11 |