Atkin-Lehner |
2+ 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800n |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-19913130720000 = -1 · 28 · 36 · 54 · 7 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2233,-217763] |
[a1,a2,a3,a4,a6] |
Generators |
[397:-7830:1] |
Generators of the group modulo torsion |
j |
-7699532800/124457067 |
j-invariant |
L |
5.2722402619001 |
L(r)(E,1)/r! |
Ω |
0.29379140605068 |
Real period |
R |
0.24924336971188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998848209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121800by1 |
Quadratic twists by: 5 |