Atkin-Lehner |
2+ 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
14382g |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4157892347328 = -1 · 26 · 314 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 6 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,603,-98091] |
[a1,a2,a3,a4,a6] |
j |
33230963375/5703556032 |
j-invariant |
L |
1.472081946892 |
L(r)(E,1)/r! |
Ω |
0.36802048672299 |
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 |
115056z1 4794g1 |
Quadratic twists by: -4 -3 |