Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558cz |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
224000 |
Modular degree for the optimal curve |
Δ |
1603142238852 = 22 · 35 · 72 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11074,-445312] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:80:1] |
Generators of the group modulo torsion |
j |
84778086457/904932 |
j-invariant |
L |
11.707633733752 |
L(r)(E,1)/r! |
Ω |
0.46569680901631 |
Real period |
R |
2.5140034280233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
798c1 |
Quadratic twists by: -11 |