Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648bp |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-48797493241392 = -1 · 24 · 33 · 74 · 196 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2647,-341038] |
[a1,a2,a3,a4,a6] |
Generators |
[614:15162:1] |
Generators of the group modulo torsion |
j |
-2725888/64827 |
j-invariant |
L |
8.9574453663451 |
L(r)(E,1)/r! |
Ω |
0.27489297668571 |
Real period |
R |
1.3577170823547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296f1 168b1 |
Quadratic twists by: -4 -19 |