Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330dm |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
2.0431160224356E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34924637,39776478949] |
[a1,a2,a3,a4,a6] |
Generators |
[-3113:345536:1] |
Generators of the group modulo torsion |
j |
2034416504287874043/882294347833600 |
j-invariant |
L |
11.462551322649 |
L(r)(E,1)/r! |
Ω |
0.07456928450863 |
Real period |
R |
0.9607299605828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330h2 1170h2 |
Quadratic twists by: -3 -7 |