Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150cr |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
328924800000000 = 213 · 37 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 0 -5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26555,-1412053] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:490:1] |
Generators of the group modulo torsion |
j |
7272098185/1155072 |
j-invariant |
L |
8.4280010980338 |
L(r)(E,1)/r! |
Ω |
0.37800390169655 |
Real period |
R |
0.14292351962994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050p1 21150u1 |
Quadratic twists by: -3 5 |