Atkin-Lehner |
2+ 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648d |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
96181471232 = 211 · 72 · 112 · 892 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4955,133418] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:308:1] [31:98:1] |
Generators of the group modulo torsion |
j |
6569385329250/46963609 |
j-invariant |
L |
11.715588431406 |
L(r)(E,1)/r! |
Ω |
1.0730389946736 |
Real period |
R |
2.7295346417383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54824b2 |
Quadratic twists by: -4 |