Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
106848a |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-3271472064 = -1 · 26 · 39 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,351,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[444:2870:27] |
Generators of the group modulo torsion |
j |
3796416/2597 |
j-invariant |
L |
8.2897017520915 |
L(r)(E,1)/r! |
Ω |
0.89216775694803 |
Real period |
R |
4.6458200895776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999699464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106848c1 106848x1 |
Quadratic twists by: -4 -3 |