Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45080x |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-127339842249200 = -1 · 24 · 52 · 712 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8836,-633011] |
[a1,a2,a3,a4,a6] |
j |
-40535147776/67648175 |
j-invariant |
L |
1.8629640083173 |
L(r)(E,1)/r! |
Ω |
0.23287050106509 |
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 |
90160f1 6440k1 |
Quadratic twists by: -4 -7 |