Atkin-Lehner |
2- 3- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
13332d |
Isogeny class |
Conductor |
13332 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8064 |
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 |
[-19:54:1] [-7:66:1] |
Generators of the group modulo torsion |
j |
27098718208/8909109 |
j-invariant |
L |
6.3160607057375 |
L(r)(E,1)/r! |
Ω |
1.3445384574625 |
Real period |
R |
0.13048799738019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53328q1 39996d1 |
Quadratic twists by: -4 -3 |