Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160bl |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3810240 |
Modular degree for the optimal curve |
Δ |
-4596716913754112000 = -1 · 219 · 53 · 78 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -7 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23678776,-44341550224] |
[a1,a2,a3,a4,a6] |
j |
-62180929511972089/194672000 |
j-invariant |
L |
0.068439998364711 |
L(r)(E,1)/r! |
Ω |
0.03421997308508 |
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 |
11270b1 90160cr1 |
Quadratic twists by: -4 -7 |