Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ck |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-66543750000 = -1 · 24 · 32 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3708,-89037] |
[a1,a2,a3,a4,a6] |
j |
-902360320/10647 |
j-invariant |
L |
3.6681821808866 |
L(r)(E,1)/r! |
Ω |
0.3056818709127 |
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 |
54600m1 109200j1 |
Quadratic twists by: -4 5 |