Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400fs |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
54336744000000000 = 212 · 36 · 59 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-406208,99150912] |
[a1,a2,a3,a4,a6] |
Generators |
[-608:11000:1] |
Generators of the group modulo torsion |
j |
926574216749/6792093 |
j-invariant |
L |
6.5183649122267 |
L(r)(E,1)/r! |
Ω |
0.35585147375005 |
Real period |
R |
1.5264713407697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775x1 92400ia1 |
Quadratic twists by: -4 5 |