Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600cg |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.0571269829624E+25 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11+ 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687459875,6930986281250] |
[a1,a2,a3,a4,a6] |
Generators |
[313609173875:-5906730240000:22665187] |
Generators of the group modulo torsion |
j |
4491338515653872443653/5071408728702976 |
j-invariant |
L |
7.018655784563 |
L(r)(E,1)/r! |
Ω |
0.0642602345683 |
Real period |
R |
13.652797545813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450n2 83600ci2 |
Quadratic twists by: -4 5 |