Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120da |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
-192725505584640000 = -1 · 212 · 312 · 54 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-292640,64391988] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:-9072:1] |
Generators of the group modulo torsion |
j |
-676653468930300961/47052125386875 |
j-invariant |
L |
9.0808908306134 |
L(r)(E,1)/r! |
Ω |
0.31312702642897 |
Real period |
R |
0.60418044348252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970168 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6195e4 |
Quadratic twists by: -4 |