Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400df |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
74077200 = 24 · 33 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 6 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105,-5] |
[a1,a2,a3,a4,a6] |
j |
11854080/6859 |
j-invariant |
L |
3.2712748582738 |
L(r)(E,1)/r! |
Ω |
1.6356374302738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100d1 68400dg2 68400dr1 |
Quadratic twists by: -4 -3 5 |