Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950dh |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-51998079000 = -1 · 23 · 3 · 53 · 7 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,197,-10903] |
[a1,a2,a3,a4,a6] |
Generators |
[52:349:1] |
Generators of the group modulo torsion |
j |
6761990971/415984632 |
j-invariant |
L |
9.4641602847856 |
L(r)(E,1)/r! |
Ω |
0.53636219033109 |
Real period |
R |
2.940848694966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850da1 19950n1 |
Quadratic twists by: -3 5 |