Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150ct |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
3784500000 = 25 · 32 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -4 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6238,189092] |
[a1,a2,a3,a4,a6] |
Generators |
[32:134:1] |
Generators of the group modulo torsion |
j |
2042904913/288 |
j-invariant |
L |
12.342656716005 |
L(r)(E,1)/r! |
Ω |
1.3487121613819 |
Real period |
R |
0.45757193293578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046b1 126150h1 |
Quadratic twists by: 5 29 |