Atkin-Lehner |
2- 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
68328f |
Isogeny class |
Conductor |
68328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-708424704 = -1 · 210 · 36 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- -1 0 0 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-2954] |
[a1,a2,a3,a4,a6] |
Generators |
[26:72:1] |
Generators of the group modulo torsion |
j |
-7086244/949 |
j-invariant |
L |
5.4700383297422 |
L(r)(E,1)/r! |
Ω |
0.54283300534977 |
Real period |
R |
2.5192086126577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7592a1 |
Quadratic twists by: -3 |