Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272s |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-12739974912 = -1 · 28 · 32 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[0:34:1] [12:-98:1] |
Generators of the group modulo torsion |
j |
686000/423 |
j-invariant |
L |
8.3396374970956 |
L(r)(E,1)/r! |
Ω |
0.78004309090417 |
Real period |
R |
1.3364065386808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544bf1 1128f1 |
Quadratic twists by: -4 -7 |