Atkin-Lehner |
2- 13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67184s |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-202395753644032 = -1 · 224 · 133 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 2 0 -2 6 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8112,-626752] |
[a1,a2,a3,a4,a6] |
Generators |
[18884:334815:64] |
Generators of the group modulo torsion |
j |
14410997795375/49413025792 |
j-invariant |
L |
9.5166346831132 |
L(r)(E,1)/r! |
Ω |
0.28754342966418 |
Real period |
R |
5.5160564173535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398i1 |
Quadratic twists by: -4 |