Atkin-Lehner |
2- 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090w |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-324865641645342720 = -1 · 225 · 37 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 5 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3129770,-2132643913] |
[a1,a2,a3,a4,a6] |
j |
-3390478469915638897867681/324865641645342720 |
j-invariant |
L |
2.8376508642877 |
L(r)(E,1)/r! |
Ω |
0.056753017285753 |
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 |
96720df1 36270p1 60450bh1 |
Quadratic twists by: -4 -3 5 |