Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510i |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
-4.386817413646E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1737531,-3062711275] |
[a1,a2,a3,a4,a6] |
Generators |
[1441:48592:1] |
Generators of the group modulo torsion |
j |
532445465175651/4026275000000 |
j-invariant |
L |
4.714597356113 |
L(r)(E,1)/r! |
Ω |
0.068623180838159 |
Real period |
R |
4.2939183401039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48510cd1 48510a1 |
Quadratic twists by: -3 -7 |