Atkin-Lehner |
2- 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050cj |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
3031777148928000000 = 232 · 3 · 56 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-569663,142673817] |
[a1,a2,a3,a4,a6] |
j |
1308451928740468777/194033737531392 |
j-invariant |
L |
7.7707591306271 |
L(r)(E,1)/r! |
Ω |
0.24283622280326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442c1 |
Quadratic twists by: 5 |