Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gy |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1083427042500 = -1 · 22 · 36 · 54 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2030,-60703] |
[a1,a2,a3,a4,a6] |
Generators |
[60705:395929:729] |
Generators of the group modulo torsion |
j |
-2029568425/2377892 |
j-invariant |
L |
10.307489041638 |
L(r)(E,1)/r! |
Ω |
0.34028178534083 |
Real period |
R |
7.5727599070755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350i1 84150cp1 |
Quadratic twists by: -3 5 |