Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20448l |
Isogeny class |
Conductor |
20448 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7616 |
Modular degree for the optimal curve |
Δ |
26500608 = 29 · 36 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 2 -7 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-819,9018] |
[a1,a2,a3,a4,a6] |
j |
162771336/71 |
j-invariant |
L |
2.0801520450309 |
L(r)(E,1)/r! |
Ω |
2.0801520450308 |
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 |
20448d1 40896z1 2272b1 |
Quadratic twists by: -4 8 -3 |