Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850dh |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-273449039062500 = -1 · 22 · 36 · 59 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52242,4677416] |
[a1,a2,a3,a4,a6] |
j |
-11074654989/192052 |
j-invariant |
L |
2.2041361511782 |
L(r)(E,1)/r! |
Ω |
0.55103403865258 |
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 |
6650bg1 59850gd1 |
Quadratic twists by: -3 5 |