Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560dx |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-14914990080000 = -1 · 215 · 39 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -1 -1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35532,2584656] |
[a1,a2,a3,a4,a6] |
Generators |
[42:1080:1] |
Generators of the group modulo torsion |
j |
-7692038424/23125 |
j-invariant |
L |
9.73930013835 |
L(r)(E,1)/r! |
Ω |
0.70367439992123 |
Real period |
R |
0.43251982519472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560dy1 53280d1 106560do1 |
Quadratic twists by: -4 8 -3 |