Atkin-Lehner |
2- 3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128v |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
327488980540981248 = 224 · 33 · 115 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-229659,32193738] |
[a1,a2,a3,a4,a6] |
Generators |
[45633:685530:343] |
Generators of the group modulo torsion |
j |
12112963494238179/2961235718144 |
j-invariant |
L |
9.9202474413523 |
L(r)(E,1)/r! |
Ω |
0.28605489282994 |
Real period |
R |
8.6698809226314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13266l1 106128z1 |
Quadratic twists by: -4 -3 |