Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
56644t |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
-91917379363735408 = -1 · 24 · 77 · 178 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 0 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,80246,-11698035] |
[a1,a2,a3,a4,a6] |
j |
4352/7 |
j-invariant |
L |
0.35731100745184 |
L(r)(E,1)/r! |
Ω |
0.17865550432257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8092i1 56644l1 |
Quadratic twists by: -7 17 |