Atkin-Lehner |
2+ 3+ 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760i |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-151368750000 = -1 · 24 · 34 · 58 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1775,-33750] |
[a1,a2,a3,a4,a6] |
j |
-38676169209856/9460546875 |
j-invariant |
L |
1.4522509601222 |
L(r)(E,1)/r! |
Ω |
0.36306274086861 |
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 |
35880f1 |
Quadratic twists by: -4 |