Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350x |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-8655581383593750 = -1 · 2 · 33 · 58 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21825,-4654125] |
[a1,a2,a3,a4,a6] |
j |
-121945/918 |
j-invariant |
L |
1.0416183320964 |
L(r)(E,1)/r! |
Ω |
0.17360305535608 |
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 |
43350dc1 2550q1 |
Quadratic twists by: 5 17 |