Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304if |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1384708276224 = -1 · 215 · 36 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2977,-85345] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1560:1] |
Generators of the group modulo torsion |
j |
-259694072/123201 |
j-invariant |
L |
10.75289788585 |
L(r)(E,1)/r! |
Ω |
0.31597838155921 |
Real period |
R |
1.417936914638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010491 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304gc2 61152d2 122304fk2 |
Quadratic twists by: -4 8 -7 |