Atkin-Lehner |
2+ 5- 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
19610d |
Isogeny class |
Conductor |
19610 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
10656 |
Modular degree for the optimal curve |
Δ |
-5508449000 = -1 · 23 · 53 · 37 · 533 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 -3 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-198,-3744] |
[a1,a2,a3,a4,a6] |
j |
-852241031641/5508449000 |
j-invariant |
L |
0.56741369043683 |
L(r)(E,1)/r! |
Ω |
0.56741369043683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
98050k1 |
Quadratic twists by: 5 |