Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39440g |
Isogeny class |
Conductor |
39440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
667482085457920 = 216 · 5 · 174 · 293 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -2 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34483,2128242] |
[a1,a2,a3,a4,a6] |
Generators |
[39:918:1] |
Generators of the group modulo torsion |
j |
1107079708227849/162959493520 |
j-invariant |
L |
4.4543528143956 |
L(r)(E,1)/r! |
Ω |
0.49000652101983 |
Real period |
R |
2.2725987427292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930b1 |
Quadratic twists by: -4 |