Atkin-Lehner |
2+ 5+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
19570b |
Isogeny class |
Conductor |
19570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
873600 |
Modular degree for the optimal curve |
Δ |
-273723742592000000 = -1 · 213 · 56 · 19 · 1034 |
Discriminant |
Eigenvalues |
2+ 3 5+ 3 0 -3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1316035,581971925] |
[a1,a2,a3,a4,a6] |
Generators |
[1792410:160891045:216] |
Generators of the group modulo torsion |
j |
-252072933942505866629769/273723742592000000 |
j-invariant |
L |
6.8335572094596 |
L(r)(E,1)/r! |
Ω |
0.30808386455206 |
Real period |
R |
5.5452086231417 |
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 |
97850l1 |
Quadratic twists by: 5 |