Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616ca |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
78416941578190848 = 218 · 36 · 177 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125715,10621906] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:5202:1] |
Generators of the group modulo torsion |
j |
3048625/1088 |
j-invariant |
L |
3.9741112049143 |
L(r)(E,1)/r! |
Ω |
0.31475939101661 |
Real period |
R |
1.5782337709128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5202a1 4624f1 2448q1 |
Quadratic twists by: -4 -3 17 |