Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
1770f |
Isogeny class |
Conductor |
1770 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-2389500000 = -1 · 25 · 34 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 1 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,260,-1603] |
[a1,a2,a3,a4,a6] |
Generators |
[17:81:1] |
Generators of the group modulo torsion |
j |
1943297778239/2389500000 |
j-invariant |
L |
3.5578995146383 |
L(r)(E,1)/r! |
Ω |
0.77824934124394 |
Real period |
R |
0.076194507468763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14160be1 56640bc1 5310e1 8850j1 |
Quadratic twists by: -4 8 -3 5 |