Atkin-Lehner |
2- 3- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
9462c |
Isogeny class |
Conductor |
9462 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
21760 |
Modular degree for the optimal curve |
Δ |
402097152 = 210 · 3 · 19 · 832 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8170,283556] |
[a1,a2,a3,a4,a6] |
Generators |
[88:454:1] |
Generators of the group modulo torsion |
j |
60310538199269281/402097152 |
j-invariant |
L |
5.4855314457669 |
L(r)(E,1)/r! |
Ω |
1.5046096068161 |
Real period |
R |
0.72916342164995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75696f1 28386d1 |
Quadratic twists by: -4 -3 |