Atkin-Lehner |
2+ 3+ 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126882h |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-6733247094 = -1 · 2 · 33 · 73 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,462,882] |
[a1,a2,a3,a4,a6] |
Generators |
[966:10269:8] |
Generators of the group modulo torsion |
j |
403419604869/249379522 |
j-invariant |
L |
7.276901364566 |
L(r)(E,1)/r! |
Ω |
0.82315764257142 |
Real period |
R |
4.4201141013451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999941522 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126882be2 |
Quadratic twists by: -3 |