Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675q |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
55062411525703125 = 32 · 57 · 238 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 -1 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1723658,-870365782] |
[a1,a2,a3,a4,a6] |
j |
462843904/45 |
j-invariant |
L |
0.52704692497552 |
L(r)(E,1)/r! |
Ω |
0.13176173123281 |
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 |
119025bp1 7935f1 39675r1 |
Quadratic twists by: -3 5 -23 |