Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200bn |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
334453536000 = 28 · 311 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 1 -3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740,2500] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:90:1] [-16:162:1] |
Generators of the group modulo torsion |
j |
24974336/14337 |
j-invariant |
L |
10.502233556177 |
L(r)(E,1)/r! |
Ω |
0.82202609400064 |
Real period |
R |
0.79850214233473 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002232 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400h1 106200t1 |
Quadratic twists by: -3 5 |