Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275bq |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1096704 |
Modular degree for the optimal curve |
Δ |
25896206692125 = 33 · 53 · 78 · 113 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 11- -1 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-221235,40051681] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:8081:8] |
Generators of the group modulo torsion |
j |
61549867008/1331 |
j-invariant |
L |
12.588401682898 |
L(r)(E,1)/r! |
Ω |
0.61835378435471 |
Real period |
R |
0.56549798774788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275bn1 121275bs1 121275ce1 |
Quadratic twists by: -3 5 -7 |