Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350bs |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3312000 |
Modular degree for the optimal curve |
Δ |
288198032500 = 22 · 54 · 75 · 193 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 3 3 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4449592,3613783516] |
[a1,a2,a3,a4,a6] |
Generators |
[1218:-602:1] |
Generators of the group modulo torsion |
j |
2272707362766267675/67228 |
j-invariant |
L |
3.8096290875713 |
L(r)(E,1)/r! |
Ω |
0.51537198289439 |
Real period |
R |
0.36959993387927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000187817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350cg1 126350do1 |
Quadratic twists by: 5 -19 |