Atkin-Lehner |
2+ 3- 5- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
71370l |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-2860608947040000 = -1 · 28 · 37 · 54 · 133 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71964,-7845552] |
[a1,a2,a3,a4,a6] |
j |
-56538653731144129/3924017760000 |
j-invariant |
L |
1.1613055905198 |
L(r)(E,1)/r! |
Ω |
0.14516319766666 |
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 |
23790p1 |
Quadratic twists by: -3 |