Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160cs |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-14314353830000 = -1 · 24 · 54 · 76 · 233 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 6 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2270,185975] |
[a1,a2,a3,a4,a6] |
j |
-687518464/7604375 |
j-invariant |
L |
4.7895130141924 |
L(r)(E,1)/r! |
Ω |
0.5986891403301 |
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 |
22540r1 1840f1 |
Quadratic twists by: -4 -7 |