Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47096k |
Isogeny class |
Conductor |
47096 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1.477658429665E+20 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1789928,1091020672] |
[a1,a2,a3,a4,a6] |
Generators |
[27048:470960:27] |
Generators of the group modulo torsion |
j |
-1041220466500/242597383 |
j-invariant |
L |
3.7914824033563 |
L(r)(E,1)/r! |
Ω |
0.17476211363574 |
Real period |
R |
3.6158508314466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94192c1 1624b1 |
Quadratic twists by: -4 29 |