Atkin-Lehner |
3- 5- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48555j |
Isogeny class |
Conductor |
48555 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
-216017553375 = -1 · 36 · 53 · 134 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1438,7336] |
[a1,a2,a3,a4,a6] |
Generators |
[76:704:1] |
Generators of the group modulo torsion |
j |
451394172711/296320375 |
j-invariant |
L |
4.5439907819409 |
L(r)(E,1)/r! |
Ω |
0.62469450641729 |
Real period |
R |
2.4246468928701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5395a1 |
Quadratic twists by: -3 |