Atkin-Lehner |
2+ 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360j |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
125440 |
Modular degree for the optimal curve |
Δ |
-11132838644400 = -1 · 24 · 314 · 52 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 0 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83831,-9371706] |
[a1,a2,a3,a4,a6] |
j |
-4072141404585416704/695802415275 |
j-invariant |
L |
3.9280005957227 |
L(r)(E,1)/r! |
Ω |
0.1402857355616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720h1 91080cg1 |
Quadratic twists by: -4 -3 |