Atkin-Lehner |
2- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810bm |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-30037053480350720 = -1 · 210 · 5 · 178 · 292 |
Discriminant |
Eigenvalues |
2- 1 5- 1 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1082600,433550912] |
[a1,a2,a3,a4,a6] |
Generators |
[602:-12:1] |
Generators of the group modulo torsion |
j |
-20115759490561/4305920 |
j-invariant |
L |
14.005589804296 |
L(r)(E,1)/r! |
Ω |
0.36175008999354 |
Real period |
R |
0.64527004460932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810u1 |
Quadratic twists by: 17 |