Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966m |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
51499476 = 22 · 37 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -2 -2 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-810,9072] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-18:1] [-6:120:1] |
Generators of the group modulo torsion |
j |
95930521/84 |
j-invariant |
L |
7.7327586101778 |
L(r)(E,1)/r! |
Ω |
1.9865416449355 |
Real period |
R |
0.48657164008128 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322z1 105966cf1 |
Quadratic twists by: -3 29 |