Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552dv |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-13112518849855488 = -1 · 219 · 316 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -3 -2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205185,36127359] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:7776:1] |
Generators of the group modulo torsion |
j |
-3644372262934369/50020289802 |
j-invariant |
L |
5.6063359552607 |
L(r)(E,1)/r! |
Ω |
0.39975530857536 |
Real period |
R |
0.21913154585062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552j1 27888ba1 |
Quadratic twists by: -4 8 |