Atkin-Lehner |
2- 3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29610bd |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-39654639385200 = -1 · 24 · 316 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20192,-1140109] |
[a1,a2,a3,a4,a6] |
j |
-1248860795523769/54395938800 |
j-invariant |
L |
3.1958873631282 |
L(r)(E,1)/r! |
Ω |
0.19974296019562 |
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 |
9870f1 |
Quadratic twists by: -3 |