Atkin-Lehner |
2- 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120060i |
Isogeny class |
Conductor |
120060 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
94525639200000 = 28 · 311 · 55 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 4 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12288,236788] |
[a1,a2,a3,a4,a6] |
j |
1099511627776/506503125 |
j-invariant |
L |
1.0762782871075 |
L(r)(E,1)/r! |
Ω |
0.53813883792515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40020h1 |
Quadratic twists by: -3 |