Atkin-Lehner |
2+ 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288j |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-35296042408704 = -1 · 28 · 37 · 75 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8119,51963] |
[a1,a2,a3,a4,a6] |
Generators |
[19:462:1] |
Generators of the group modulo torsion |
j |
231173409760256/137875165659 |
j-invariant |
L |
7.5859579677148 |
L(r)(E,1)/r! |
Ω |
0.39874902738452 |
Real period |
R |
0.067944258585584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114576b1 |
Quadratic twists by: -4 |