Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600dy |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-4519800000000000 = -1 · 212 · 36 · 511 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,34800,2054000] |
[a1,a2,a3,a4,a6] |
Generators |
[31443365:700823275:226981] |
Generators of the group modulo torsion |
j |
99897344/96875 |
j-invariant |
L |
7.0463356545783 |
L(r)(E,1)/r! |
Ω |
0.28615034981033 |
Real period |
R |
12.312296118016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999606902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6975m1 12400n1 22320bg1 |
Quadratic twists by: -4 -3 5 |