Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
111300i |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-587796996543750000 = -1 · 24 · 314 · 58 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,204042,10038537] |
[a1,a2,a3,a4,a6] |
Generators |
[1392:54675:1] |
Generators of the group modulo torsion |
j |
150314294109440/94047519447 |
j-invariant |
L |
6.1701810744363 |
L(r)(E,1)/r! |
Ω |
0.17990380357231 |
Real period |
R |
0.9526975887212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999340252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111300t1 |
Quadratic twists by: 5 |