Atkin-Lehner |
3+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43953f |
Isogeny class |
Conductor |
43953 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-964581517899854127 = -1 · 316 · 78 · 132 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,87268,-46162852] |
[a1,a2,a3,a4,a6] |
j |
624741318596303/8198807621823 |
j-invariant |
L |
0.27316568954437 |
L(r)(E,1)/r! |
Ω |
0.13658284471849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6279i1 |
Quadratic twists by: -7 |