Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275fu |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
993178381658203125 = 36 · 59 · 78 · 112 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14393367,-21014363084] |
[a1,a2,a3,a4,a6] |
j |
1968634623437/5929 |
j-invariant |
L |
2.790367577103 |
L(r)(E,1)/r! |
Ω |
0.077510231136878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13475v2 121275fy2 17325bq2 |
Quadratic twists by: -3 5 -7 |