Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gv |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-5336644500 = -1 · 22 · 36 · 53 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,340,2467] |
[a1,a2,a3,a4,a6] |
Generators |
[29:175:1] |
Generators of the group modulo torsion |
j |
3267/4 |
j-invariant |
L |
9.4537043753306 |
L(r)(E,1)/r! |
Ω |
0.90964892440854 |
Real period |
R |
2.5981739002943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050u1 54450dc1 54450dd1 |
Quadratic twists by: -3 5 -11 |