Atkin-Lehner |
2+ 3+ 5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126990f |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
-344063531250000000 = -1 · 27 · 33 · 512 · 173 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15936,28206720] |
[a1,a2,a3,a4,a6] |
Generators |
[-1242:38121:8] |
Generators of the group modulo torsion |
j |
16576108532665317/12743093750000000 |
j-invariant |
L |
4.4344170471562 |
L(r)(E,1)/r! |
Ω |
0.23683397493194 |
Real period |
R |
2.3404671079968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045286 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126990bj2 |
Quadratic twists by: -3 |