Atkin-Lehner |
2- 5+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27140b |
Isogeny class |
Conductor |
27140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-800630000 = -1 · 24 · 54 · 23 · 592 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 -4 -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,227,-347] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-59:1] [4:25:1] |
Generators of the group modulo torsion |
j |
80850237696/50039375 |
j-invariant |
L |
5.0559664677511 |
L(r)(E,1)/r! |
Ω |
0.91844317208462 |
Real period |
R |
0.45874426615097 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108560l1 |
Quadratic twists by: -4 |