Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432d |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
473974944768 = 210 · 36 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2317,28093] |
[a1,a2,a3,a4,a6] |
j |
1343969093632/462866157 |
j-invariant |
L |
1.718070817896 |
L(r)(E,1)/r! |
Ω |
0.85903540893029 |
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 |
42432cg1 5304l1 127296i1 |
Quadratic twists by: -4 8 -3 |