Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27848i |
Isogeny class |
Conductor |
27848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
481440 |
Modular degree for the optimal curve |
Δ |
-150354368106824704 = -1 · 210 · 598 |
Discriminant |
Eigenvalues |
2- 2 -1 4 0 -5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-753056,252471644] |
[a1,a2,a3,a4,a6] |
Generators |
[3203011:308213508:343] |
Generators of the group modulo torsion |
j |
-314116 |
j-invariant |
L |
8.507768295968 |
L(r)(E,1)/r! |
Ω |
0.32648231998042 |
Real period |
R |
13.029447194075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55696h1 27848d1 |
Quadratic twists by: -4 -59 |