Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400dg |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
30561300000000 = 28 · 34 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -1 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7833,18963] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:525:1] |
Generators of the group modulo torsion |
j |
531573760/305613 |
j-invariant |
L |
8.4748776548043 |
L(r)(E,1)/r! |
Ω |
0.56363627232541 |
Real period |
R |
0.41766876885426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200cd1 92400h1 |
Quadratic twists by: -4 5 |