Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200cj |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
94208 |
Modular degree for the optimal curve |
Δ |
-15523326000 = -1 · 24 · 38 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1743,-29232] |
[a1,a2,a3,a4,a6] |
j |
-292978006016/7761663 |
j-invariant |
L |
2.9507702316021 |
L(r)(E,1)/r! |
Ω |
0.36884628693399 |
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 |
54600bq1 109200bc1 |
Quadratic twists by: -4 5 |