Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248cn |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
2196480 |
Modular degree for the optimal curve |
Δ |
-9.120132494922E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6855617,6922020159] |
[a1,a2,a3,a4,a6] |
Generators |
[3583:168432:1] |
Generators of the group modulo torsion |
j |
-271865119154793108194/695810889810333 |
j-invariant |
L |
5.5365002804261 |
L(r)(E,1)/r! |
Ω |
0.19119552946964 |
Real period |
R |
0.043874649223069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248i1 15312a1 |
Quadratic twists by: -4 8 |