Atkin-Lehner |
5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2755a |
Isogeny class |
Conductor |
2755 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-1942490234375 = -1 · 510 · 193 · 29 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 0 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3102,-9328] |
[a1,a2,a3,a4,a6] |
Generators |
[27076:277901:343] |
Generators of the group modulo torsion |
j |
3302024872982031/1942490234375 |
j-invariant |
L |
2.103532400999 |
L(r)(E,1)/r! |
Ω |
0.48791777630706 |
Real period |
R |
8.6224872433227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44080j1 24795j1 13775b1 52345f1 |
Quadratic twists by: -4 -3 5 -19 |