Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64980bu |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-9992197968750000 = -1 · 24 · 311 · 510 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -6 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36708,-3975199] |
[a1,a2,a3,a4,a6] |
Generators |
[142:2025:1] |
Generators of the group modulo torsion |
j |
1299125682176/2373046875 |
j-invariant |
L |
3.9666777008861 |
L(r)(E,1)/r! |
Ω |
0.21350893265627 |
Real period |
R |
0.15482091121287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660j1 64980bg1 |
Quadratic twists by: -3 -19 |