Atkin-Lehner |
2- 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328q |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
2280731904 = 28 · 36 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 11- -5 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-397,-1871] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:22:1] [-8:27:1] |
Generators of the group modulo torsion |
j |
27098718208/8909109 |
j-invariant |
L |
7.5195710894868 |
L(r)(E,1)/r! |
Ω |
1.0974318573736 |
Real period |
R |
0.85649635544097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13332d1 |
Quadratic twists by: -4 |