Atkin-Lehner |
2- 7+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
120848f |
Isogeny class |
Conductor |
120848 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4502795892195328 = -1 · 215 · 73 · 136 · 83 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 3 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29672,2550000] |
[a1,a2,a3,a4,a6] |
Generators |
[138:3042:1] |
Generators of the group modulo torsion |
j |
705325505078375/1099315403368 |
j-invariant |
L |
11.281302940603 |
L(r)(E,1)/r! |
Ω |
0.29658653325176 |
Real period |
R |
1.5848807504868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15106c2 |
Quadratic twists by: -4 |