Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304it |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
977273536512 = 214 · 3 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3985,-85681] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:111:1] |
Generators of the group modulo torsion |
j |
3631696/507 |
j-invariant |
L |
4.7077803934709 |
L(r)(E,1)/r! |
Ω |
0.60644787942701 |
Real period |
R |
3.881438597509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999581544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304ci2 30576bw2 2496v2 |
Quadratic twists by: -4 8 -7 |