Atkin-Lehner |
2+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150n |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
137600 |
Modular degree for the optimal curve |
Δ |
-552062500000 = -1 · 25 · 59 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11- 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-109200,13844000] |
[a1,a2,a3,a4,a6] |
Generators |
[191:-79:1] |
Generators of the group modulo torsion |
j |
-73734001313237/282656 |
j-invariant |
L |
5.8792586940352 |
L(r)(E,1)/r! |
Ω |
0.81003917810091 |
Real period |
R |
1.8144982529792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150bp1 |
Quadratic twists by: 5 |