Atkin-Lehner |
3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275bn |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3290112 |
Modular degree for the optimal curve |
Δ |
18878334678559125 = 39 · 53 · 78 · 113 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 11+ -1 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1991115,-1081395394] |
[a1,a2,a3,a4,a6] |
j |
61549867008/1331 |
j-invariant |
L |
1.5251334258795 |
L(r)(E,1)/r! |
Ω |
0.12709428789935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275bq1 121275bl1 121275bz1 |
Quadratic twists by: -3 5 -7 |