Atkin-Lehner |
2+ 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850l |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
458640 |
Modular degree for the optimal curve |
Δ |
-73619585450000000 = -1 · 27 · 58 · 176 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18076,13086298] |
[a1,a2,a3,a4,a6] |
j |
-1671999478105/188466138752 |
j-invariant |
L |
0.56655376978458 |
L(r)(E,1)/r! |
Ω |
0.28327688456087 |
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 |
51850o1 |
Quadratic twists by: 5 |