Atkin-Lehner |
2+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160x |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-653998871859760 = -1 · 24 · 5 · 74 · 237 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -4 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21005,-368460] |
[a1,a2,a3,a4,a6] |
j |
26678349092864/17024127235 |
j-invariant |
L |
0.88008142015817 |
L(r)(E,1)/r! |
Ω |
0.29336048595827 |
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 |
45080be1 90160k1 |
Quadratic twists by: -4 -7 |