Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150cw |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2592000 |
Modular degree for the optimal curve |
Δ |
-7863092475629782500 = -1 · 22 · 33 · 54 · 1911 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7175063,7398161517] |
[a1,a2,a3,a4,a6] |
Generators |
[1702:9979:1] |
Generators of the group modulo torsion |
j |
-1389310279182025/267418692 |
j-invariant |
L |
11.772593008267 |
L(r)(E,1)/r! |
Ω |
0.2270195488398 |
Real period |
R |
1.4404771488622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150h2 2850g1 |
Quadratic twists by: 5 -19 |