Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95304x |
Isogeny class |
Conductor |
95304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
329370624 = 210 · 34 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-272,-1584] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:12:1] |
Generators of the group modulo torsion |
j |
6042532/891 |
j-invariant |
L |
6.1829578489031 |
L(r)(E,1)/r! |
Ω |
1.1868229086128 |
Real period |
R |
0.65120897703897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95304a1 |
Quadratic twists by: -19 |