Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248b |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
979968 = 210 · 3 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1277,17997] |
[a1,a2,a3,a4,a6] |
Generators |
[218:415:8] |
Generators of the group modulo torsion |
j |
225079785472/957 |
j-invariant |
L |
4.8302308285508 |
L(r)(E,1)/r! |
Ω |
2.4499584597227 |
Real period |
R |
3.9431124303541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248cf1 7656j1 |
Quadratic twists by: -4 8 |