Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62928r |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-25437233405952 = -1 · 213 · 39 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 -2 -5 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21843,-1266030] |
[a1,a2,a3,a4,a6] |
Generators |
[990:30780:1] |
Generators of the group modulo torsion |
j |
-14295828483/315514 |
j-invariant |
L |
7.929688270183 |
L(r)(E,1)/r! |
Ω |
0.19609849266802 |
Real period |
R |
3.3697727445904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7866c1 62928u1 |
Quadratic twists by: -4 -3 |