Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728fa |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
-3.1177054971436E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-724169,358131735] |
[a1,a2,a3,a4,a6] |
Generators |
[337:12348:1] |
Generators of the group modulo torsion |
j |
-10253783727692120512/7611585686385723 |
j-invariant |
L |
6.1976747229329 |
L(r)(E,1)/r! |
Ω |
0.19174986072451 |
Real period |
R |
0.35912960883944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728df2 24864f1 |
Quadratic twists by: -4 8 |