Atkin-Lehner |
11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67507j |
Isogeny class |
Conductor |
67507 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
16802289779 = 115 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 -2 -3 -1 11- 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5337,-150386] |
[a1,a2,a3,a4,a6] |
Generators |
[123:967:1] [-42:32:1] |
Generators of the group modulo torsion |
j |
46570747042153/46543739 |
j-invariant |
L |
3.8770655374891 |
L(r)(E,1)/r! |
Ω |
0.55859994576897 |
Real period |
R |
0.6940683698287 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67507i1 |
Quadratic twists by: -19 |