Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
19188f |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-109959583793904 = -1 · 24 · 33 · 133 · 415 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -4 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66273,6586141] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1681:1] |
Generators of the group modulo torsion |
j |
-74516055318634752/254536073597 |
j-invariant |
L |
4.1419702582653 |
L(r)(E,1)/r! |
Ω |
0.59608649272567 |
Real period |
R |
0.69486061315125 |
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 |
76752bc1 19188b1 |
Quadratic twists by: -4 -3 |