Atkin-Lehner |
5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29575o |
Isogeny class |
Conductor |
29575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38688 |
Modular degree for the optimal curve |
Δ |
-713764380875 = -1 · 53 · 7 · 138 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 5 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7323,-247061] |
[a1,a2,a3,a4,a6] |
j |
-425984/7 |
j-invariant |
L |
0.51558294871604 |
L(r)(E,1)/r! |
Ω |
0.25779147435832 |
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 |
29575u1 29575t1 |
Quadratic twists by: 5 13 |