Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
12450j |
Isogeny class |
Conductor |
12450 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1764384120000 = -1 · 26 · 312 · 54 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13201,586148] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:986:1] |
Generators of the group modulo torsion |
j |
-407021073465625/2823014592 |
j-invariant |
L |
3.9980849015308 |
L(r)(E,1)/r! |
Ω |
0.84207909352363 |
Real period |
R |
0.59348417094662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
99600cl1 37350bw1 12450p1 |
Quadratic twists by: -4 -3 5 |