Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150dj |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-10834270425000000 = -1 · 26 · 36 · 58 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13617,5048541] |
[a1,a2,a3,a4,a6] |
j |
-980614705/38046272 |
j-invariant |
L |
1.3474253698528 |
L(r)(E,1)/r! |
Ω |
0.33685634693114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350bi1 84150fv1 |
Quadratic twists by: -3 5 |