Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312bj |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7063739301888 = 218 · 39 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7884,-237168] |
[a1,a2,a3,a4,a6] |
Generators |
[1314:47520:1] |
Generators of the group modulo torsion |
j |
10503459/1369 |
j-invariant |
L |
7.1356529400232 |
L(r)(E,1)/r! |
Ω |
0.511011034936 |
Real period |
R |
3.4909485569705 |
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 |
21312f2 5328j2 21312bn2 |
Quadratic twists by: -4 8 -3 |