Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440cy |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-36289869361200 = -1 · 24 · 33 · 52 · 76 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8265,-16542] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-735:1] |
Generators of the group modulo torsion |
j |
33165879296/19278675 |
j-invariant |
L |
8.9415240837513 |
L(r)(E,1)/r! |
Ω |
0.38537386296314 |
Real period |
R |
0.96675861886127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1560i1 |
Quadratic twists by: -7 |