Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
9270j |
Isogeny class |
Conductor |
9270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-10136745000 = -1 · 23 · 39 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 5 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,4860] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:72:1] |
Generators of the group modulo torsion |
j |
-24137569/13905000 |
j-invariant |
L |
3.4970866026016 |
L(r)(E,1)/r! |
Ω |
1.0424713148964 |
Real period |
R |
0.20966323920801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74160bw1 3090j1 46350cc1 |
Quadratic twists by: -4 -3 5 |