Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032t |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-137783918592 = -1 · 214 · 34 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -6 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768,-16128] |
[a1,a2,a3,a4,a6] |
Generators |
[258:4158:1] |
Generators of the group modulo torsion |
j |
117649/324 |
j-invariant |
L |
8.1386308736437 |
L(r)(E,1)/r! |
Ω |
0.53251900642799 |
Real period |
R |
3.8208170728784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034495 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13254k1 106032v1 |
Quadratic twists by: -4 -47 |