Atkin-Lehner |
3- 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
42705d |
Isogeny class |
Conductor |
42705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-1.4980728416748E+19 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 3 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-458598,221283328] |
[a1,a2,a3,a4,a6] |
Generators |
[7594:659299:1] |
Generators of the group modulo torsion |
j |
-14631628068445782016/20549696044921875 |
j-invariant |
L |
4.5719839938959 |
L(r)(E,1)/r! |
Ω |
0.19957460585214 |
Real period |
R |
5.7271614972899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14235g1 |
Quadratic twists by: -3 |