Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560dj |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
-2685837665894400000 = -1 · 231 · 38 · 55 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-560321,-179850945] |
[a1,a2,a3,a4,a6] |
Generators |
[1009:16824:1] |
Generators of the group modulo torsion |
j |
-74215610396057521/10245657600000 |
j-invariant |
L |
7.794271590678 |
L(r)(E,1)/r! |
Ω |
0.086584770089239 |
Real period |
R |
5.6261854584979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560e1 14640bb1 |
Quadratic twists by: -4 8 |