Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
64980bp |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
2005724828016018000 = 24 · 310 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10985952,14015207329] |
[a1,a2,a3,a4,a6] |
Generators |
[1938:1805:1] |
Generators of the group modulo torsion |
j |
267219216891904/3655125 |
j-invariant |
L |
5.6031570776423 |
L(r)(E,1)/r! |
Ω |
0.23898335845822 |
Real period |
R |
1.3025446890013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660w1 3420e1 |
Quadratic twists by: -3 -19 |