Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490cm |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-497488189440 = -1 · 211 · 3 · 5 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3385,-83335] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1447:1] |
Generators of the group modulo torsion |
j |
-3222772836011/373770240 |
j-invariant |
L |
15.363779309102 |
L(r)(E,1)/r! |
Ω |
0.31092618356166 |
Real period |
R |
0.74868102870598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490z1 |
Quadratic twists by: -11 |