Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176z |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
10857037824 = 214 · 38 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 2 -1 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5952,176672] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:549:1] |
Generators of the group modulo torsion |
j |
1952382976/909 |
j-invariant |
L |
8.3837186611528 |
L(r)(E,1)/r! |
Ω |
1.2612827100421 |
Real period |
R |
3.3234890934901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176ch1 3636b1 19392e1 |
Quadratic twists by: -4 8 -3 |