Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096n |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-10604809329408 = -1 · 28 · 37 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -1 6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,327,156771] |
[a1,a2,a3,a4,a6] |
Generators |
[30:441:1] |
Generators of the group modulo torsion |
j |
128000/352107 |
j-invariant |
L |
8.1971268927962 |
L(r)(E,1)/r! |
Ω |
0.56631605039161 |
Real period |
R |
0.51694549657384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048c1 7728d1 |
Quadratic twists by: -4 -7 |