Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840ba |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
35415228240 = 24 · 312 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-822,-551] |
[a1,a2,a3,a4,a6] |
j |
5266130944/3036285 |
j-invariant |
L |
3.8871221168015 |
L(r)(E,1)/r! |
Ω |
0.971780529176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680co1 14280bu1 |
Quadratic twists by: -4 -3 |