Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560cz |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-190911873024000000 = -1 · 224 · 39 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180012,-36139984] |
[a1,a2,a3,a4,a6] |
Generators |
[532:4320:1] |
Generators of the group modulo torsion |
j |
-3375675045001/999000000 |
j-invariant |
L |
7.4341881358826 |
L(r)(E,1)/r! |
Ω |
0.11414853463797 |
Real period |
R |
2.7136383323853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560fy1 3330s1 35520e1 |
Quadratic twists by: -4 8 -3 |