Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968b |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-88355570688 = -1 · 210 · 33 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,165,-14278] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1914:1] |
Generators of the group modulo torsion |
j |
13500/2401 |
j-invariant |
L |
6.8640645336813 |
L(r)(E,1)/r! |
Ω |
0.50712292841428 |
Real period |
R |
3.3838267605018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999984779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984bq2 121968a2 121968k2 |
Quadratic twists by: -4 -3 -11 |