Atkin-Lehner |
3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4485b |
Isogeny class |
Conductor |
4485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-13213751648175 = -1 · 32 · 52 · 136 · 233 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4140,143412] |
[a1,a2,a3,a4,a6] |
j |
7847262474528959/13213751648175 |
j-invariant |
L |
0.96889001837952 |
L(r)(E,1)/r! |
Ω |
0.48444500918976 |
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 |
71760bz1 13455d1 22425p1 58305b1 |
Quadratic twists by: -4 -3 5 13 |