Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054k |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4.2524388383649E+26 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 11- 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-547858357,-4835202430835] |
[a1,a2,a3,a4,a6] |
Generators |
[-2497936045:14328137339:166375] |
Generators of the group modulo torsion |
j |
10265319586058552545673521/240039086340513078432 |
j-invariant |
L |
2.8351493829764 |
L(r)(E,1)/r! |
Ω |
0.031250072301381 |
Real period |
R |
15.120761725145 |
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 |
63162cf2 1914j2 |
Quadratic twists by: -3 -11 |