Atkin-Lehner |
3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025bl |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1392640 |
Modular degree for the optimal curve |
Δ |
-1.4090831258026E+20 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ -2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2406492,1546836291] |
[a1,a2,a3,a4,a6] |
j |
-1082479082962733/98964411579 |
j-invariant |
L |
0.71888128349998 |
L(r)(E,1)/r! |
Ω |
0.17972032091574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15675bc1 47025bo1 |
Quadratic twists by: -3 5 |