Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080by |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-18717736960000000 = -1 · 223 · 57 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -3 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56108,-8336432] |
[a1,a2,a3,a4,a6] |
j |
-2609064081/2500000 |
j-invariant |
L |
2.3881915632388 |
L(r)(E,1)/r! |
Ω |
0.14926197272375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080f1 13520w1 54080ct1 |
Quadratic twists by: -4 8 13 |