Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888k |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-6248086419456 = -1 · 211 · 37 · 75 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2568,110196] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1764:1] |
Generators of the group modulo torsion |
j |
914133635854/3050823447 |
j-invariant |
L |
4.9024987673053 |
L(r)(E,1)/r! |
Ω |
0.53363273718293 |
Real period |
R |
0.065621626819141 |
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 |
13944c1 111552cu1 83664z1 |
Quadratic twists by: -4 8 -3 |