Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400hk |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
8174355148800000000 = 218 · 38 · 58 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 5 -1 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24416833,-46430578463] |
[a1,a2,a3,a4,a6] |
j |
15721420060947505/79827687 |
j-invariant |
L |
2.4450064230826 |
L(r)(E,1)/r! |
Ω |
0.067916821425409 |
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 |
110400ex1 27600di1 110400ib1 |
Quadratic twists by: -4 8 5 |