Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800cg |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
3654720000 = 29 · 35 · 54 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 0 -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,-12312] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:6:1] [-18:18:1] |
Generators of the group modulo torsion |
j |
354312200/11421 |
j-invariant |
L |
12.679126366917 |
L(r)(E,1)/r! |
Ω |
0.84889926606782 |
Real period |
R |
1.4935961043133 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800by1 112800j1 |
Quadratic twists by: -4 5 |