Atkin-Lehner |
2+ 3+ 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650o |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
-7292899800 = -1 · 23 · 34 · 52 · 233 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 7 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-705,-8595] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1083:1] |
Generators of the group modulo torsion |
j |
-1553507059585/291715992 |
j-invariant |
L |
4.5573989831617 |
L(r)(E,1)/r! |
Ω |
0.45850556616499 |
Real period |
R |
1.6566134394798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000187059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650do1 |
Quadratic twists by: 5 |