Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
94752bb |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-137103536395965888 = -1 · 26 · 318 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 2 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-749577,250423000] |
[a1,a2,a3,a4,a6] |
Generators |
[372:4802:1] |
Generators of the group modulo torsion |
j |
-998308954108593856/2938604603823 |
j-invariant |
L |
4.0408249702428 |
L(r)(E,1)/r! |
Ω |
0.32888393932558 |
Real period |
R |
3.0716192603682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752bn1 31584k1 |
Quadratic twists by: -4 -3 |